Aschbacher, Michael The 2-fusion system of the Monster. (English) Zbl 1522.20058 Proc. Lond. Math. Soc. (3) 127, No. 2, 487-511 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20D08 20D20 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Lond. Math. Soc. (3) 127, No. 2, 487--511 (2023; Zbl 1522.20058) Full Text: DOI
Aschbacher, Michael Fusion systems with 2-small components. (English) Zbl 07731981 Trans. Am. Math. Soc. 376, No. 9, 6063-6121 (2023). MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Trans. Am. Math. Soc. 376, No. 9, 6063--6121 (2023; Zbl 07731981) Full Text: DOI
Aschbacher, Michael Fusion systems with J-components over \(F_{2^e}\) with \(e>1\). (English) Zbl 1511.20054 J. Group Theory 26, No. 2, 207-332 (2023). Reviewer: Enrico Jabara (Venezia) MSC: 20D05 20D20 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Group Theory 26, No. 2, 207--332 (2023; Zbl 1511.20054) Full Text: DOI
Aschbacher, Michael Fusion systems with \(U_3(3)\) J-components. (English) Zbl 1516.20041 J. Algebra 607, Part A, 34-63 (2022). Reviewer: Anatolii Tushev (Dnipro) MSC: 20D20 20D05 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 607, 34--63 (2022; Zbl 1516.20041) Full Text: DOI
Aschbacher, Michael The finite simple groups and their classification. (English) Zbl 1512.20044 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 1-9 (2021). MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Symp. Pure Math. 104, 1--9 (2021; Zbl 1512.20044) Full Text: DOI
Aschbacher, Michael Erratum to: “Walter’s theorem for fusion systems”. (English) Zbl 1511.20058 Proc. Lond. Math. Soc. (3) 122, No. 6, 848 (2021). MSC: 20D06 20D20 20E25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Lond. Math. Soc. (3) 122, No. 6, 848 (2021; Zbl 1511.20058) Full Text: DOI
Aschbacher, Michael Quaternion fusion packets. (English) Zbl 1514.20004 Contemporary Mathematics 765. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-5665-8/pbk; 978-1-4704-6421-9/ebook). vii, 444 p. (2021). MSC: 20-02 20D05 20C20 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, Quaternion fusion packets. Providence, RI: American Mathematical Society (AMS) (2021; Zbl 1514.20004) Full Text: DOI
Aschbacher, Michael Walter’s theorem for fusion systems. (English) Zbl 1506.20008 Proc. Lond. Math. Soc. (3) 122, No. 4, 569-615 (2021); erratum ibid. 122, No. 6, 848 (2021). MSC: 20D06 20D20 20E25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Lond. Math. Soc. (3) 122, No. 4, 569--615 (2021; Zbl 1506.20008) Full Text: DOI
Aschbacher, Michael Walter’s basic theorem for fusion systems. (English) Zbl 1466.20010 J. Algebra 570, 595-610 (2021). Reviewer: Gernot Stroth (Halle) MSC: 20D05 20D06 20D20 20E25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 570, 595--610 (2021; Zbl 1466.20010) Full Text: DOI Link
Aschbacher, Michael Fusion systems with alternating J-components. (English) Zbl 1506.20007 J. Lond. Math. Soc., II. Ser. 102, No. 3, 905-956 (2020). MSC: 20D06 20D05 20D20 20E25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Lond. Math. Soc., II. Ser. 102, No. 3, 905--956 (2020; Zbl 1506.20007) Full Text: DOI
Aschbacher, Michael The 2-fusion system of an almost simple group. (English) Zbl 1485.20056 J. Algebra 561, 5-16 (2020). MSC: 20D20 20D10 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 561, 5--16 (2020; Zbl 1485.20056) Full Text: DOI
Aschbacher, Michael Finite simple groups and fusion systems. (English) Zbl 1514.20051 Campbell, C. M. (ed.) et al., Groups St Andrews 2017 in Birmingham. Selected papers of the conference, Birmingham, UK, August 5–13, 2017. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 455, 1-15 (2019). MSC: 20D05 20D20 20D15 PDFBibTeX XMLCite \textit{M. Aschbacher}, Lond. Math. Soc. Lect. Note Ser. 455, 1--15 (2019; Zbl 1514.20051) Full Text: DOI
Aschbacher, Michael On fusion systems of component type. (English) Zbl 1481.20001 Memoirs of the American Mathematical Society 1236. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3520-2/pbk; 978-1-4704-4955-1/ebook). v, 182 p. (2019). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20-02 20D05 20D20 20D30 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, On fusion systems of component type. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1481.20001) Full Text: DOI Link
Aschbacher, Michael The subgroup structure of finite groups. (English) Zbl 1448.20003 Bhargava, Manjul (ed.) et al., Finite simple groups: thirty years of the atlas and beyond. International conference celebrating the atlases and honoring John Conway, Princeton University, Princeton, NJ, USA, November 2–5, 2015. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 694, 111-121 (2017). MSC: 20B35 20E07 PDFBibTeX XMLCite \textit{M. Aschbacher}, Contemp. Math. 694, 111--121 (2017; Zbl 1448.20003) Full Text: DOI
Aschbacher, Michael Overgroups of root groups in classical groups. (English) Zbl 1406.20021 Mem. Am. Math. Soc. 1140, vi, 188 p. (2016). MSC: 20D06 20E28 20G40 20D30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Overgroups of root groups in classical groups. Providence, RI: American Mathematical Society (AMS) (2016; Zbl 1406.20021) Full Text: DOI
Aschbacher, Michael; Oliver, Bob Fusion systems. (English) Zbl 1397.20028 Bull. Am. Math. Soc., New Ser. 53, No. 4, 555-615 (2016). MSC: 20D20 20E25 20D05 20E45 20C20 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{B. Oliver}, Bull. Am. Math. Soc., New Ser. 53, No. 4, 555--615 (2016; Zbl 1397.20028) Full Text: DOI
Aschbacher, Michael N-groups and fusion systems. (English) Zbl 1350.20012 J. Algebra 449, 264-320 (2016). Reviewer: Gernot Stroth (Halle) MSC: 20D20 20D05 20D25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 449, 264--320 (2016; Zbl 1350.20012) Full Text: DOI
Aschbacher, Michael Finite groups of Seitz type. (English) Zbl 1286.20012 Proc. Am. Math. Soc. 142, No. 1, 113-120 (2014). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20D06 20E42 20G40 20D30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Am. Math. Soc. 142, No. 1, 113--120 (2014; Zbl 1286.20012) Full Text: DOI
Aschbacher, Michael Overgroup lattices in finite groups of Lie type containing a parabolic. (English) Zbl 1293.20016 J. Algebra 382, 71-99 (2013). Reviewer: Andrea Lucchini (Padova) MSC: 20D30 20D06 06B15 20G40 08A30 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 382, 71--99 (2013; Zbl 1293.20016) Full Text: DOI
Aschbacher, Michael Fusion systems of \(\mathbf F_2\)-type. (English) Zbl 1297.20017 J. Algebra 378, 217-262 (2013). Reviewer: Shi Wujie (Chongqing) MSC: 20D20 20D05 20D06 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 378, 217--262 (2013; Zbl 1297.20017) Full Text: DOI Link
Aschbacher, Michael \(S_3\)-free 2-fusion systems. (English) Zbl 1278.20021 Proc. Edinb. Math. Soc., II. Ser. 56, No. 1, 27-48 (2013). Reviewer: Gernot Stroth (Halle) MSC: 20D20 55R35 20D06 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Edinb. Math. Soc., II. Ser. 56, No. 1, 27--48 (2013; Zbl 1278.20021) Full Text: DOI
Aschbacher, Michael Lower signalizer lattices in alternating and symmetric groups. (English) Zbl 1255.20017 J. Group Theory 15, No. 2, 151-225 (2012). Reviewer: Andrea Lucchini (Padova) MSC: 20D30 20B35 06B15 08A30 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Group Theory 15, No. 2, 151--225 (2012; Zbl 1255.20017) Full Text: DOI Link
Aschbacher, Michael; Kessar, Radha; Oliver, Bob Fusion systems in algebra and topology. (English) Zbl 1255.20001 London Mathematical Society Lecture Note Series 391. Cambridge: Cambridge University Press (ISBN 978-1-107-60100-0/pbk). vi, 320 p. (2011). Reviewer: Corina Mohorianu (Iaşi) MSC: 20-02 20C20 20D20 55R35 55R40 20C33 20D60 20J15 55Q99 55P99 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Fusion systems in algebra and topology. Cambridge: Cambridge University Press (2011; Zbl 1255.20001)
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald The classification of finite simple groups. Groups of characteristic 2 type. (English) Zbl 1218.20007 Mathematical Surveys and Monographs 172. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5336-8/hbk). xii, 347 p. (2011). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D20 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., The classification of finite simple groups. Groups of characteristic 2 type. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1218.20007)
Aschbacher, Michael The generalized Fitting subsystem of a fusion system. (English) Zbl 1278.20020 Mem. Am. Math. Soc. 986, v, 110 p. (2011). MSC: 20D20 20D15 20D25 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, The generalized Fitting subsystem of a fusion system. Providence, RI: American Mathematical Society (AMS) (2011; Zbl 1278.20020) Full Text: DOI
Aschbacher, Michael; Chermak, Andrew A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. (English) Zbl 1213.20017 Ann. Math. (2) 171, No. 2, 881-978 (2010). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D20 20D15 55R35 55R37 20J15 55P99 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{A. Chermak}, Ann. Math. (2) 171, No. 2, 881--978 (2010; Zbl 1213.20017) Full Text: DOI Link
Aschbacher, Michael Generation of fusion systems of characteristic 2-type. (English) Zbl 1234.20025 Invent. Math. 180, No. 2, 225-299 (2010). Reviewer: Gernot Stroth (Halle) MSC: 20D20 20D15 20D25 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Invent. Math. 180, No. 2, 225--299 (2010; Zbl 1234.20025) Full Text: DOI
Aschbacher, Michael; Shareshian, John Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. (English) Zbl 1185.20020 J. Algebra 322, No. 7, 2449-2463 (2009). Reviewer: Andrea Lucchini (Padova) MSC: 20D30 20B35 06B15 08A30 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{J. Shareshian}, J. Algebra 322, No. 7, 2449--2463 (2009; Zbl 1185.20020) Full Text: DOI
Aschbacher, Michael Overgroups of primitive groups. (English) Zbl 1190.20012 J. Aust. Math. Soc. 87, No. 1, 37-82 (2009). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 20D30 20B35 20B15 20E28 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Aust. Math. Soc. 87, No. 1, 37--82 (2009; Zbl 1190.20012) Full Text: DOI
Aschbacher, Michael Overgroups of primitive groups. II. (English) Zbl 1190.20013 J. Algebra 322, No. 5, 1586-1626 (2009). Reviewer: Alexandre A. Makhnev (Ekaterinburg) MSC: 20D30 20B35 20B15 06B15 20E28 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 322, No. 5, 1586--1626 (2009; Zbl 1190.20013) Full Text: DOI
Aschbacher, Michael Signalizer lattices in finite groups. (English) Zbl 1177.20034 Mich. Math. J. 58, No. 1, 79-103 (2009). Reviewer: Andrea Lucchini (Padova) MSC: 20D30 06B15 08A30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Mich. Math. J. 58, No. 1, 79--103 (2009; Zbl 1177.20034) Full Text: DOI
Aschbacher, Michael On intervals in subgroup lattices of finite groups. (English) Zbl 1215.20022 J. Am. Math. Soc. 21, No. 3, 809-830 (2008). Reviewer: Roland Schmidt (Kiel) MSC: 20D30 06B05 06B15 46L37 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Am. Math. Soc. 21, No. 3, 809--830 (2008; Zbl 1215.20022) Full Text: DOI
Aschbacher, Michael (ed.); Gorenstein, Daniel (ed.); Lyons, Richard (ed.); O’Nan, Michael (ed.); Sims, Charles (ed.); Feit, Walter (ed.) Proceedings of the Rutgers Group Theory Year, 1983-1984, Rutgers University, New Brunswick, N.J., USA. Reprint of the 1984 hardback ed. (English) Zbl 1156.20001 Cambridge: Cambridge University Press (ISBN 978-0-521-09091-9/pbk). xii, 415 p. (2008). MSC: 20-06 12-06 00B25 PDFBibTeX XMLCite \textit{M. Aschbacher} (ed.) et al., Proceedings of the Rutgers Group Theory Year, 1983-1984, Rutgers University, New Brunswick, N. J., USA. Reprint of the 1984 hardback ed. Cambridge: Cambridge University Press (2008; Zbl 1156.20001)
Aschbacher, Michael Normal subsystems of fusion systems. (English) Zbl 1241.20026 Proc. Lond. Math. Soc. (3) 97, No. 1, 239-271 (2008). MSC: 20D20 55R35 PDFBibTeX XMLCite \textit{M. Aschbacher}, Proc. Lond. Math. Soc. (3) 97, No. 1, 239--271 (2008; Zbl 1241.20026) Full Text: DOI
Aschbacher, Michael Isotopy and geotopy for ternary rings of projective planes. (English) Zbl 1143.51001 J. Algebra 319, No. 2, 868-892 (2008). Reviewer: Hauke Klein (Kiel) MSC: 51A05 20N05 51E15 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 319, No. 2, 868--892 (2008; Zbl 1143.51001) Full Text: DOI
Aschbacher, Michael Standard components of alternating type centralized by a 4-group. (English) Zbl 1144.20007 J. Algebra 319, No. 2, 595-615 (2008). Reviewer: Gernot Stroth (Halle) MSC: 20D06 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 319, No. 2, 595--615 (2008; Zbl 1144.20007) Full Text: DOI
Aschbacher, Michael; Guralnick, Robert; Segev, Yoav Elementary Abelian 2-subgroups of Sidki-type in finite groups. (English) Zbl 1135.20008 Groups Geom. Dyn. 1, No. 4, 347-400 (2007). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20D06 20D20 20D25 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Groups Geom. Dyn. 1, No. 4, 347--400 (2007; Zbl 1135.20008) Full Text: DOI
Aschbacher, Michael; Childs, Andrew M.; Wocjan, Paweł The limitations of nice mutually unbiased bases. (English) Zbl 1109.81016 J. Algebr. Comb. 25, No. 2, 111-123 (2007). MSC: 81P68 46C05 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., J. Algebr. Comb. 25, No. 2, 111--123 (2007; Zbl 1109.81016) Full Text: DOI arXiv
Aschbacher, Michael Projective planes, loops, and groups. (English) Zbl 1103.20063 J. Algebra 300, No. 2, 396-432 (2006). Reviewer: C. Pereira da Silva (Curitiba) MSC: 20N05 51E15 12K10 17D05 20D15 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 300, No. 2, 396--432 (2006; Zbl 1103.20063) Full Text: DOI
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D. Finite Bruck loops. (English) Zbl 1102.20046 Trans. Am. Math. Soc. 358, No. 7, 3061-3075 (2006). Reviewer: A. M. Shelekhov (Moskva) MSC: 20N05 20D10 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Trans. Am. Math. Soc. 358, No. 7, 3061--3075 (2006; Zbl 1102.20046) Full Text: DOI arXiv
Aschbacher, Michael Highly complex proofs and implications of such proofs. (English) Zbl 1152.00308 Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1835, 2401-2406 (2005). MSC: 00A35 00A30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Philos. Trans. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 363, No. 1835, 2401--2406 (2005; Zbl 1152.00308) Full Text: DOI
Aschbacher, Michael On Bol loops of exponent 2. (English) Zbl 1090.20037 J. Algebra 288, No. 1, 99-136 (2005). Reviewer: Huberta Lausch (Grafing) MSC: 20N05 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 288, No. 1, 99--136 (2005; Zbl 1090.20037) Full Text: DOI
Aschbacher, Michael On a question of Farjoun. (English) Zbl 1142.20304 Ho, Chat Yin (ed.) et al., Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter (ISBN 3-11-017447-2/hbk). 1-27 (2004). MSC: 20D45 20D15 PDFBibTeX XMLCite \textit{M. Aschbacher}, in: Finite groups 2003. Proceedings of the Gainesville conference on finite groups, Gainesville, FL, USA, March 6-12, 2003. In honour of John Thompson to his 70th birthday. Berlin: Walter de Gruyter. 1--27 (2004; Zbl 1142.20304)
Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. (English) Zbl 1065.20024 Mathematical Surveys and Monographs 112. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3411-8/hbk). xii, pp. 479-1221. (2004). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D06 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{S. D. Smith}, The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1065.20024) Backlinks: MO
Aschbacher, Michael; Smith, Stephen D. The classification of quasithin groups. I: Structure of strongly quasithin \(\mathcal K\)-groups. (English) Zbl 1065.20023 Mathematical Surveys and Monographs 111. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3410-X/hbk). xiv, 477 p. (2004). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D05 20-02 20D06 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{S. D. Smith}, The classification of quasithin groups. I: Structure of strongly quasithin \(\mathcal K\)-groups. Providence, RI: American Mathematical Society (AMS) (2004; Zbl 1065.20023) Backlinks: MO
Aschbacher, Michael The status of the classification of the finite simple groups. (English) Zbl 1113.20302 Notices Am. Math. Soc. 51, No. 7, 736-740 (2004). MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Notices Am. Math. Soc. 51, No. 7, 736--740 (2004; Zbl 1113.20302) Full Text: Link
Aschbacher, Michael A 2-local characterization of \(M_{12}\). (English) Zbl 1032.20012 Ill. J. Math. 47, No. 1-2, 31-47 (2003). Reviewer: Corinna Wiedorn (Berlin) MSC: 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher}, Ill. J. Math. 47, No. 1--2, 31--47 (2003; Zbl 1032.20012)
Aschbacher, Michael A 2-local characterization of the Higman-Sims group. (English) Zbl 1025.20004 J. Algebra 260, No. 1, 16-31 (2003). Reviewer: Victor Mazurov (Novosibirsk) MSC: 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 260, No. 1, 16--31 (2003; Zbl 1025.20004) Full Text: DOI
Aschbacher, Michael Finite groups of \(G_2(3)\)-type. (English) Zbl 1014.20006 J. Algebra 257, No. 2, 197-214 (2002). Reviewer: Anatoli Kondrat’ev (Ekaterinburg) MSC: 20D06 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 257, No. 2, 197--214 (2002; Zbl 1014.20006) Full Text: DOI
Aschbacher, Michael Characterizing \(U_3(3)\) by counting involutions. (English) Zbl 1006.20014 J. Ramanujan Math. Soc. 17, No. 1, 35-49 (2002). Reviewer: G.Stroth (Halle) MSC: 20D05 20D60 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Ramanujan Math. Soc. 17, No. 1, 35--49 (2002; Zbl 1006.20014)
Aschbacher, Michael A characterization of \(^2E_6(2)\). (English) Zbl 1001.20004 Bannai, Eiichi (ed.) et al., Groups and combinatorics - in memory of Michio Suzuki. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 32, 209-244 (2001). Reviewer: Corinna Wiedorn (Birmingham) MSC: 20D06 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher}, Adv. Stud. Pure Math. 32, 209--244 (2001; Zbl 1001.20004)
Aschbacher, Michael; Meierfrankenfeld, Ulrich; Stellmacher, Bernd Counting involutions. (English) Zbl 1006.20013 Ill. J. Math. 45, No. 3, 1051-1060 (2001). Reviewer: G.Stroth (Halle) MSC: 20D05 20D60 20F05 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Ill. J. Math. 45, No. 3, 1051--1060 (2001; Zbl 1006.20013)
Aschbacher, Michael On primitive linear representations of finite groups. (English) Zbl 0991.20008 J. Algebra 234, No. 2, 627-640 (2000). Reviewer: Sandro Mattarei (Povo) MSC: 20C15 20C20 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 234, No. 2, 627--640 (2000; Zbl 0991.20008) Full Text: DOI
Aschbacher, M. The classification of the finite simple groups. (English) Zbl 0965.20009 Jahresber. Dtsch. Math.-Ver. 102, No. 3, 95-101 (2000). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20D05 20-02 20D08 20D06 PDFBibTeX XMLCite \textit{M. Aschbacher}, Jahresber. Dtsch. Math.-Ver. 102, No. 3, 95--101 (2000; Zbl 0965.20009)
Aschbacher, Michael Finite group theory. 2nd ed. (English) Zbl 0997.20001 Cambridge Studies in Advanced Mathematics. 10. Cambridge: Cambridge University Press. xi, 304 p. (2000). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20-02 20Dxx 20-01 20F05 20E08 20F65 20C15 20B30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Finite group theory. 2nd ed. Cambridge: Cambridge University Press (2000; Zbl 0997.20001)
Aschbacher, Michael Quasithin groups. (English) Zbl 0917.20011 Carter, R. W. (ed.) et al., Algebraic groups and their representations. Proceedings of the NATO Advanced Study Institute on modular representations and subgroup structure of algebraic groups and related finite groups, Cambridge, UK, June 23–July 4, 1997. Dordrecht: Kluwer Academic Publishers. NATO ASI Ser., Ser. C, Math. Phys. Sci. 517, 321-340 (1998). Reviewer: G.Stroth (Halle) MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, NATO ASI Ser., Ser. C, Math. Phys. Sci. 517, 321--340 (1998; Zbl 0917.20011)
Aschbacher, Michael Finite groups acting on homology manifolds. Special issue of the Pacific Journal of Mathematics. (English) Zbl 0912.57021 Aschbacher, Michael (ed.) et al., Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math., Spec. Issue, 3-36 (1998). Reviewer: M.Raußen (Aalborg) MSC: 57S17 20D99 05E25 06A07 06A11 PDFBibTeX XMLCite \textit{M. Aschbacher}, in: Olga Taussky-Todd: In memoriam. Cambridge, MA: International Press. Pac. J. Math, Spec. Issue, 3--36 (1998; Zbl 0912.57021)
Aschbacher, Michael Near subgroups of finite groups. (English) Zbl 0902.20010 J. Group Theory 1, No. 2, 113-129 (1998). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20D60 68Q15 20D25 20D45 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Group Theory 1, No. 2, 113--129 (1998; Zbl 0902.20010) Full Text: DOI
Aschbacher, Michael (ed.); Blasius, Don (ed.); Ramakrishnan, Dinakar (ed.) Olga Taussky-Todd: In memoriam. Special issue of the Pacific Journal of Mathematics. (English) Zbl 0889.00012 Cambridge, MA: International Press. 357 p. (1998). MSC: 00B30 00B15 PDFBibTeX XMLCite \textit{M. Aschbacher} (ed.) et al., Olga Taussky-Todd: In memoriam. Special issue of the \newline Pacific Journal of Mathematics. Cambridge, MA: International Press (1998; Zbl 0889.00012)
Aschbacher, Michael G.; Smith, Stephen D. Quasithin groups. (English) Zbl 0895.20013 Di Martino, Lino (ed.) et al., Groups and geometries. Proceedings of the conference, Siena, Italy, September 1-7, 1996. Basel: Birkhäuser. Trends in Mathematics. 1-7 (1998). Reviewer: G.Stroth (Halle) MSC: 20D05 PDFBibTeX XMLCite \textit{M. G. Aschbacher} and \textit{S. D. Smith}, in: Groups and geometries. Proceedings of the conference, Siena, Italy, September 1-7, 1996. Basel: Birkhäuser. 1--7 (1998; Zbl 0895.20013)
Aschbacher, Michael \(3\)-transposition groups. (English) Zbl 0883.20010 Cambridge Tracts in Mathematics. 124. Cambridge: Cambridge University Press. vii, 260 p. (1997). Reviewer: G.Stroth (Halle) MSC: 20D08 20F05 20-02 PDFBibTeX XMLCite \textit{M. Aschbacher}, \(3\)-transposition groups. Cambridge: Cambridge University Press (1997; Zbl 0883.20010)
Aschbacher, Michael Combinatorial cell complexes. (English) Zbl 0884.05097 Bannai, E. (ed.) et al., Progress in algebraic combinatorics. Based on the international symposium on algebraic combinatorics, Fukuoka, Japan, 1993 and the research project on algebraic combinatorics, Kyoto, Japan, April 1994 – March 1995. Kyoto: Kinokuniya Company Ltd. Adv. Stud. Pure Math. 24, 1-80 (1996). Reviewer: K.Drechsler (Halle) MSC: 05E25 57M99 06A11 PDFBibTeX XMLCite \textit{M. Aschbacher}, Adv. Stud. Pure Math. 24, 1--80 (1996; Zbl 0884.05097)
Aschbacher, Michael Representations of groups on finite simplicial complexes. (English) Zbl 0852.20005 Kantor, William M. (ed.) et al., Groups of Lie type and their geometries. Proceedings of the conference held in Como, Italy, June 14-19, 1993. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 207, 1-12 (1995). Reviewer: A.Kondrat’ev (Ekaterinburg) MSC: 20C33 20D30 55P10 55U10 PDFBibTeX XMLCite \textit{M. Aschbacher}, Lond. Math. Soc. Lect. Note Ser. 207, 1--12 (1995; Zbl 0852.20005)
Aschbacher, Michael Sporadic groups. (English) Zbl 0804.20011 Cambridge Tracts in Mathematics. 104. Cambridge: Cambridge University Press. xii, 314 p. (1994). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20D08 20-02 PDFBibTeX XMLCite \textit{M. Aschbacher}, Sporadic groups. Cambridge: Cambridge University Press (1994; Zbl 0804.20011)
Aschbacher, Michael Finite group theory. Corrected reprint of the 1986 orig. (English) Zbl 0826.20001 Cambridge Studies in Advanced Mathematics. 10. Cambridge: Cambridge University Press. x, 274 p. (1993). MSC: 20-02 20Dxx 20F05 20F65 20C15 20B30 PDFBibTeX XMLCite \textit{M. Aschbacher}, Finite group theory. Corrected reprint of the 1986 orig. Cambridge: Cambridge University Press (1993; Zbl 0826.20001)
Aschbacher, Michael; Segev, Yoav A fixed point theorem for groups acting on finite \(2\)-dimensional acyclic simplicial complexes. (English) Zbl 0834.57022 Proc. Lond. Math. Soc., III. Ser. 67, No. 2, 329-354 (1993). Reviewer: A.Kondrat’ev (Ekatrinburg) MSC: 57S17 55M20 20J99 20F38 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Proc. Lond. Math. Soc. (3) 67, No. 2, 329--354 (1993; Zbl 0834.57022) Full Text: DOI
Aschbacher, Michael Simple connectivity of \(p\)-group complexes. (English) Zbl 0829.20031 Isr. J. Math. 82, No. 1-3, 1-43 (1993). Reviewer: M.E.Harris (Minneapolis) MSC: 20D30 20D20 55U10 20J05 20D06 20D08 55P10 PDFBibTeX XMLCite \textit{M. Aschbacher}, Isr. J. Math. 82, No. 1--3, 1--43 (1993; Zbl 0829.20031) Full Text: DOI
Aschbacher, Michael; Smith, Stephen D. On Quillen’s conjecture for the \(p\)-groups complex. (English) Zbl 0782.20039 Ann. Math. (2) 137, No. 3, 473-529 (1993). Reviewer: S.A.Syskin (Novosibirsk) MSC: 20J05 55P10 20D30 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{S. D. Smith}, Ann. Math. (2) 137, No. 3, 473--529 (1993; Zbl 0782.20039) Full Text: DOI
Aschbacher, Michael Daniel Gorenstein (1923-1992). (English) Zbl 0821.01027 Notices Am. Math. Soc. 39, No. 10, 1190-1191 (1992). MSC: 01A70 01A60 PDFBibTeX XMLCite \textit{M. Aschbacher}, Notices Am. Math. Soc. 39, No. 10, 1190--1191 (1992; Zbl 0821.01027)
Aschbacher, Michael; Segev, Yoav Extending morphisms of groups and graphs. (English) Zbl 0778.20009 Ann. Math. (2) 135, No. 2, 297-323 (1992). Reviewer: G.Stroth (Berlin) MSC: 20D08 05C25 20F65 51D20 51E24 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Ann. Math. (2) 135, No. 2, 297--323 (1992; Zbl 0778.20009) Full Text: DOI
Aschbacher, Michael; Segev, Yoav The uniqueness of groups of Lyons type. (English) Zbl 0758.20002 J. Am. Math. Soc. 5, No. 1, 75-98 (1992). Reviewer: R.Wilson (Birmingham) MSC: 20D08 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, J. Am. Math. Soc. 5, No. 1, 75--98 (1992; Zbl 0758.20002) Full Text: DOI
Aschbacher, Michael; Segev, Yoav The study of \(J_ 4\) via the theory of uniqueness systems. (English) Zbl 0806.20016 Liebeck, Martin (ed.) et al., Groups, combinatorics and geometry. Proceedings of the L.M.S. Durham symposium, held July 5-15, 1990 in Durham, UK. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 165, 12-21 (1992). Reviewer: A.Kondrat’ev (Sverdlovsk) MSC: 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Lond. Math. Soc. Lect. Note Ser. 165, 12--21 (1992; Zbl 0806.20016)
Aschbacher, Michael; Segev, Yoav Uniqueness of sporadic groups. (English) Zbl 0806.20015 Liebeck, Martin (ed.) et al., Groups, combinatorics and geometry. Proceedings of the L.M.S. Durham symposium, held July 5-15, 1990 in Durham, UK. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 165, 1-11 (1992). Reviewer: A.Kondrat’ev (Sverdlovsk) MSC: 20D08 20D05 20F65 51D20 51E24 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Lond. Math. Soc. Lect. Note Ser. 165, 1--11 (1992; Zbl 0806.20015)
Aschbacher, M.; Segev, Y. Locally connected simplicial maps. (English) Zbl 0793.57011 Isr. J. Math. 77, No. 3, 285-303 (1992). MSC: 57Q05 55P10 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Isr. J. Math. 77, No. 3, 285--303 (1992; Zbl 0793.57011) Full Text: DOI
Aschbacher, Michael Representations of finite groups as permutation groups. (English) Zbl 0938.20500 Browder, Felix E. (ed.), Mathematics into the twenty-first century. Proceedings of the AMS centennial symposium, Providence, RI, USA, August 8-12, 1988. Providence, RI: American Mathematical Society. Am. Math. Soc. Centen. Publ. 2, 1-6 (1992). MSC: 20B15 20D05 20E28 PDFBibTeX XMLCite \textit{M. Aschbacher}, Am. Math. Soc. Centen. Publ. 2, 1--6 (1992; Zbl 0938.20500)
Aschbacher, Michael; Kleidman, Peter B.; Liebeck, Martin W. Exponents of almost simple groups and an application to the restricted Burnside problem. (English) Zbl 0770.20017 Math. Z. 208, No. 3, 401-409 (1991). Reviewer: Ulrich Dempwolff (Kaiserslautern) MSC: 20F05 20F50 20D05 20D25 20G40 20E32 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., Math. Z. 208, No. 3, 401--409 (1991; Zbl 0770.20017) Full Text: DOI EuDML
Aschbacher, Michael; Segev, Yoav The uniqueness of groups of type \(J_ 4\). (English) Zbl 0735.20006 Invent. Math. 105, No. 3, 589-607 (1991). Reviewer: D.Held MSC: 20D08 51D20 51E24 05C25 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{Y. Segev}, Invent. Math. 105, No. 3, 589--607 (1991; Zbl 0735.20006) Full Text: DOI EuDML
Aschbacher, Michael The geometry of trilinear forms. (English) Zbl 0752.11020 Finite geometries, buildings, and related topics, Pap. Conf., Pingree Park/CO (USA) 1988, 75-84 (1990). Reviewer: G.Stroth (Berlin) MSC: 11E76 20G15 51N99 PDFBibTeX XMLCite \textit{M. Aschbacher}, in: Finite geometries, buildings, and related topics. Papers from the conference on buildings and related geometries, held in Pingree Park, Colorado, USA, July 17-23, 1988. Oxford: Clarendon Press. 75--84 (1990; Zbl 0752.11020)
Aschbacher, Michael On conjectures of Guralnick and Thompson. (English) Zbl 0724.20002 J. Algebra 135, No. 2, 277-343 (1990). Reviewer: M.E.Harris (Minneapolis) MSC: 20B15 30F99 20D60 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 135, No. 2, 277--343 (1990; Zbl 0724.20002) Full Text: DOI
Aschbacher, Michael; Kleidman, Peter B. On a conjecture of Quillen and a lemma of Robinson. (English) Zbl 0723.20012 Arch. Math. 55, No. 3, 209-217 (1990). Reviewer: M.E.Harris (Minneapolis) MSC: 20D60 20D15 20D30 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{P. B. Kleidman}, Arch. Math. 55, No. 3, 209--217 (1990; Zbl 0723.20012) Full Text: DOI
Aschbacher, Michael The existence of \(J_ 3\) and its embeddings in \(E_ 6\). (English) Zbl 0703.20013 Geom. Dedicata 35, No. 1-3, 143-154 (1990). Reviewer: A.Kondrat’ev MSC: 20D08 20D05 20G40 PDFBibTeX XMLCite \textit{M. Aschbacher}, Geom. Dedicata 35, No. 1--3, 143--154 (1990; Zbl 0703.20013) Full Text: DOI
Aschbacher, Michael The 27-dimensional module for \(E_ 6\). IV. (English) Zbl 0698.20031 J. Algebra 131, No. 1, 23-39 (1990). Reviewer: H.Yamada MSC: 20G15 20E28 20F29 20F65 20G40 20D06 20E32 20E07 11E04 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 131, No. 1, 23--39 (1990; Zbl 0698.20031) Full Text: DOI
Aschbacher, Michael The 27-dimensional module for \(E_ 6\). III. (English) Zbl 0698.20030 Trans. Am. Math. Soc. 321, No. 1, 45-84 (1990). Reviewer: H.Yamada MSC: 20G15 20F29 20E28 20E07 20F65 20D06 20G40 11E04 PDFBibTeX XMLCite \textit{M. Aschbacher}, Trans. Am. Math. Soc. 321, No. 1, 45--84 (1990; Zbl 0698.20030) Full Text: DOI
Aschbacher, Michael; Guralnick, Robert M. On Abelian quotients of primitive groups. (English) Zbl 0679.20001 Proc. Am. Math. Soc. 107, No. 1, 89-95 (1989). Reviewer: W.Knapp MSC: 20B05 20B15 20D60 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{R. M. Guralnick}, Proc. Am. Math. Soc. 107, No. 1, 89--95 (1989; Zbl 0679.20001) Full Text: DOI
Aschbacher, Michael The 27-dimensional module for \(E_ 6\). II. (English) Zbl 0662.20030 J. Lond. Math. Soc., II. Ser. 37, No. 2, 275-293 (1988). Reviewer: H.Yamada MSC: 20F65 20E28 20G15 20D06 20G40 11E04 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Lond. Math. Soc., II. Ser. 37, No. 2, 275--293 (1988; Zbl 0662.20030) Full Text: DOI
Aschbacher, Michael Some multilinear forms with large isometry groups. (English) Zbl 0646.20033 Geom. Dedicata 25, 417-465 (1988). Reviewer: H.Yamada MSC: 20F65 20D06 20G15 20D30 20E28 20F29 20G40 PDFBibTeX XMLCite \textit{M. Aschbacher}, Geom. Dedicata 25, 417--465 (1988; Zbl 0646.20033) Full Text: DOI
Aschbacher, M. (ed.); Cohen, A. M. (ed.); Kantor, W. M. (ed.) Geometries and groups. Proceedings of the Workshop Geometries and Groups, Finite and Algebraic, Noordwijkerhout, Netherlands, March 1986. (English) Zbl 0627.00008 Geometriae Dedicata, Vol. 25, Nos. 1-3. Dordrecht-Boston: D. Reidel Publishing Company. VII, 542 p. (1988). MSC: 00B25 51-06 20-06 PDFBibTeX XML
Aschbacher, M. (ed.); Cohen, A. M. (ed.); Kantor, W. M. (ed.) Geometries and groups. Proceedings of the workshop geometries and groups, finite and algebraic, Noordwijkerhout, Netherlands, March 1986. Reprinted from Geometriae Dedicata 25, no. 1-3 (1988). (English) Zbl 0633.00016 Dordrecht (Netherlands) etc.: D. Reidel Publishing Company. vii, 542 p. $ 118.00; £74.25; Dfl. 240.00 (1988). MSC: 00B25 51-06 20-06 PDFBibTeX XMLCite \textit{M. Aschbacher} (ed.) et al., Geometries and groups. Proceedings of the workshop geometries and groups, finite and algebraic, Noordwijkerhout, Netherlands, March 1986. Reprinted from Geometriae Dedicata 25, no. 1-3 (1988). Dordrecht (Netherlands) etc.: D. Reidel Publishing Company (1988; Zbl 0633.00016)
Aschbacher, Michael Chromatic geometry. (English) Zbl 0641.05018 Q. J. Math., Oxf. II. Ser. 38, 277-296 (1987). Reviewer: E.J.F.Primrose MSC: 05C15 20B25 05C25 PDFBibTeX XMLCite \textit{M. Aschbacher}, Q. J. Math., Oxf. II. Ser. 38, 277--296 (1987; Zbl 0641.05018) Full Text: DOI
Aschbacher, Michael; Baldi, Pierre; Baum, Eric B.; Wilson, Richard M. Embeddings of ultrametric spaces in finite dimensional structures. (English) Zbl 0639.51018 SIAM J. Algebraic Discrete Methods 8, 564-577 (1987). Reviewer: F.D.Veldkamp MSC: 51K05 05A99 82D30 PDFBibTeX XMLCite \textit{M. Aschbacher} et al., SIAM J. Algebraic Discrete Methods 8, 564--577 (1987; Zbl 0639.51018) Full Text: DOI
Aschbacher, Michael The 27-dimensional module for \(E_ 6\). I. (English) Zbl 0629.20018 Invent. Math. 89, 159-195 (1987). Reviewer: H.Yamada MSC: 20F65 20E28 20D06 20G15 20G40 11E04 PDFBibTeX XMLCite \textit{M. Aschbacher}, Invent. Math. 89, 159--195 (1987; Zbl 0629.20018) Full Text: DOI EuDML
Aschbacher, Michael Chevalley groups of type \(G_ 2\) as the group of a trilinear form. (English) Zbl 0618.20030 J. Algebra 109, 193-259 (1987). Reviewer: U.Dempwolff MSC: 20G15 20E32 20D06 20F65 20D30 20E28 PDFBibTeX XMLCite \textit{M. Aschbacher}, J. Algebra 109, 193--259 (1987; Zbl 0618.20030) Full Text: DOI
Aschbacher, Michael Overgroups of Sylow subgroups in sporadic groups. (English) Zbl 0585.20005 Mem. Am. Math. Soc. 343, 235 p. (1986). Reviewer: G.Stroth MSC: 20D05 20D08 20D30 20B25 PDFBibTeX XMLCite \textit{M. Aschbacher}, Overgroups of Sylow subgroups in sporadic groups. Providence, RI: American Mathematical Society (AMS) (1986; Zbl 0585.20005) Full Text: DOI
Aschbacher, Michael Finite simple groups and their subgroups. (English) Zbl 0585.20004 Group theory, Proc. Int. Symp., Beijing/China 1984, Lect. Notes Math. 1185, 1-57 (1986). Reviewer: G.Stroth MSC: 20D05 20D06 20F65 20D08 PDFBibTeX XML
Aschbacher, Michael Finite group theory. (English) Zbl 0583.20001 Cambridge Studies in Advanced Mathematics, 10. Cambridge etc.: Cambridge University Press. IX, 274 p. £22.50; $ 32.50 (1986). Reviewer: U.Dempwolff MSC: 20-02 20Dxx 20C15 20F05 20F65 20B30 PDFBibTeX XML
Aschbacher, Michael Permutation groups using the classification of the finite simple groups. (English) Zbl 0595.20006 Algebras Groups Geom. 2, 380-389 (1985). Reviewer: W.Knapp MSC: 20B05 20D05 20B15 PDFBibTeX XMLCite \textit{M. Aschbacher}, Algebras Groups Geom. 2, 380--389 (1985; Zbl 0595.20006)
Aschbacher, M.; Scott, L. Maximal subgroups of finite groups. (English) Zbl 0549.20011 J. Algebra 92, 44-80 (1985). Reviewer: Victor Mazurov (Novosibirsk) MSC: 20D05 20D25 20D30 20J05 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{L. Scott}, J. Algebra 92, 44--80 (1985; Zbl 0549.20011) Full Text: DOI
Aschbacher, M. Subgroup structure of finite groups. (English) Zbl 0678.20004 Proc. Rutgers group theory year, 1983/84, 35-44 (1984). Reviewer: E.Komissartschik MSC: 20D05 20D30 20E28 20G40 PDFBibTeX XML
Aschbacher, Michael (ed.); Gorenstein, Daniel (ed.); Lyons, Richard (ed.); O’Nan, Michael (ed.); Sims, Charles (ed.); Feit, Walter (ed.) Proceedings of the Rutgers Group Theory Year, 1983-1984 (held at Rutgers University, New Brunswick, N.J.). (English) Zbl 0633.00009 Cambridge etc.: Cambridge University Press. XII, 415 p. (1984). MSC: 00B25 20-06 12-06 PDFBibTeX XML
Aschbacher, M.; Guralnick, R. Some applications of the first cohomology group. (English) Zbl 0554.20017 J. Algebra 90, 446-460 (1984). Reviewer: W.Kimmerle MSC: 20J06 20C05 20F05 20J05 20D06 20D08 PDFBibTeX XMLCite \textit{M. Aschbacher} and \textit{R. Guralnick}, J. Algebra 90, 446--460 (1984; Zbl 0554.20017) Full Text: DOI