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 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 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 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; 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 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; 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 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; 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 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 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 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 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 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 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 The Tits group as a standard subgroup. (English) Zbl 0498.20014 Math. Z. 181, 229-252 (1982). MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Math. Z. 181, 229--252 (1982; Zbl 0498.20014) Full Text: DOI EuDML
Aschbacher, Michael Some results on pushing up in finite groups. (English) Zbl 0453.20009 Math. Z. 177, 61-80 (1981). MSC: 20D05 PDFBibTeX XMLCite \textit{M. Aschbacher}, Math. Z. 177, 61--80 (1981; Zbl 0453.20009) Full Text: DOI EuDML
Aschbacher, Michael 2-components in finite groups. (English) Zbl 0326.20024 Commun. Algebra 3, 901-911 (1975). MSC: 20D99 20D20 20E34 PDFBibTeX XMLCite \textit{M. Aschbacher}, Commun. Algebra 3, 901--911 (1975; Zbl 0326.20024) Full Text: DOI
Aschbacher, Michael Finite groups with a proper 2-generated core. (English) Zbl 0302.20025 Trans. Am. Math. Soc. 197, 87-112 (1974). MSC: 20D20 PDFBibTeX XMLCite \textit{M. Aschbacher}, Trans. Am. Math. Soc. 197, 87--112 (1974; Zbl 0302.20025) Full Text: DOI
Aschbacher, Michael A class of generalized TI-groups. (English) Zbl 0243.20012 Ill. J. Math. 16, 529-532 (1972). MSC: 20D05 20D20 PDFBibTeX XMLCite \textit{M. Aschbacher}, Ill. J. Math. 16, 529--532 (1972; Zbl 0243.20012)