Moori, J. Basic 3-transpositions of unitary group \(U_n(2)\). (English) Zbl 1511.20056 Algebra Colloq. 30, No. 1, 31-42 (2023). MSC: 20D05 20D06 05B05 20G40 PDFBibTeX XMLCite \textit{J. Moori}, Algebra Colloq. 30, No. 1, 31--42 (2023; Zbl 1511.20056) Full Text: DOI
Moori, Jamshid Designs and codes from basic 3-transpositions. (English) Zbl 1509.20018 Bull. Iran. Math. Soc. 48, No. 5, 2855-2871 (2022). Reviewer: Seyed Hassan Alavi (Hamedan) MSC: 20D05 05B05 20D06 20D08 94B60 PDFBibTeX XMLCite \textit{J. Moori}, Bull. Iran. Math. Soc. 48, No. 5, 2855--2871 (2022; Zbl 1509.20018) Full Text: DOI
Hall, J. I. Generating finite 3-transposition groups. (English) Zbl 1515.20081 J. Algebra 607, Part A, 338-371 (2022). Reviewer: Enrico Jabara (Venezia) MSC: 20D06 20D08 20F05 PDFBibTeX XMLCite \textit{J. I. Hall}, J. Algebra 607, 338--371 (2022; Zbl 1515.20081) Full Text: DOI
Lam, Ching Hung; Yamauchi, Hiroshi The Conway-Miyamoto correspondences for the Fischer 3-transposition groups. (English) Zbl 1490.17036 Trans. Am. Math. Soc. 375, No. 3, 2025-2067 (2022). MSC: 17B69 20B25 20D08 PDFBibTeX XMLCite \textit{C. H. Lam} and \textit{H. Yamauchi}, Trans. Am. Math. Soc. 375, No. 3, 2025--2067 (2022; Zbl 1490.17036) Full Text: DOI arXiv
Moori, Jamshid Basic 3-transpositions of the symplectic group \(\mathrm{Sp}(2n,2)\). (English) Zbl 1495.20008 Adv. Group Theory Appl. 12, 79-89 (2021). MSC: 20D06 20D20 05B05 20G40 PDFBibTeX XMLCite \textit{J. Moori}, Adv. Group Theory Appl. 12, 79--89 (2021; Zbl 1495.20008) Full Text: Link
Galt, Alexey; Joshi, Vijay; Mamontov, Andrey; Shpectorov, Sergey; Staroletov, Alexey Double axes and subalgebras of monster type in Matsuo algebras. (English) Zbl 1485.17030 Commun. Algebra 49, No. 10, 4208-4248 (2021). MSC: 17B69 20F29 PDFBibTeX XMLCite \textit{A. Galt} et al., Commun. Algebra 49, No. 10, 4208--4248 (2021; Zbl 1485.17030) Full Text: DOI arXiv
De Medts, Tom; Van Couwenberghe, Michiel Modules over axial algebras. (English) Zbl 1472.17091 Algebr. Represent. Theory 23, No. 1, 209-227 (2020). MSC: 17B69 20B25 20C05 20C34 20F29 PDFBibTeX XMLCite \textit{T. De Medts} and \textit{M. Van Couwenberghe}, Algebr. Represent. Theory 23, No. 1, 209--227 (2020; Zbl 1472.17091) Full Text: DOI arXiv Link
Yabe, Takahiro Jordan Matsuo algebras over fields of characteristic 3. (English) Zbl 1459.17052 J. Algebra 513, 91-98 (2018). MSC: 17C50 17C30 17B69 20B35 PDFBibTeX XMLCite \textit{T. Yabe}, J. Algebra 513, 91--98 (2018; Zbl 1459.17052) Full Text: DOI arXiv
De Medts, Tom; Rehren, Felix Jordan algebras and 3-transposition groups. (English) Zbl 1386.17028 J. Algebra 478, 318-340 (2017). MSC: 17C50 17B22 20B05 20F55 17C27 17C30 05B25 PDFBibTeX XMLCite \textit{T. De Medts} and \textit{F. Rehren}, J. Algebra 478, 318--340 (2017; Zbl 1386.17028) Full Text: DOI arXiv
Rehren, Felix Linear idempotents in Matsuo algebras. (English) Zbl 1397.17036 Indiana Univ. Math. J. 65, No. 5, 1713-1733 (2016). MSC: 17D99 17C27 17B69 20F55 PDFBibTeX XMLCite \textit{F. Rehren}, Indiana Univ. Math. J. 65, No. 5, 1713--1733 (2016; Zbl 1397.17036) Full Text: DOI arXiv Link
Lam, Ching Hung; Yamauchi, Hiroshi On 3-transposition groups generated by \(\sigma\)-involutions associated to \(c=4/5\) Virasoro vectors. (English) Zbl 1312.17023 J. Algebra 416, 84-121 (2014). MSC: 17B69 20B25 17B68 PDFBibTeX XMLCite \textit{C. H. Lam} and \textit{H. Yamauchi}, J. Algebra 416, 84--121 (2014; Zbl 1312.17023) Full Text: DOI arXiv
Ali, Faryad; Moori, Jamshid The Fischer-Clifford matrices and character table of the split extension \(2^6:S_8\). (English) Zbl 1300.20018 Hacet. J. Math. Stat. 43, No. 2, 153-171 (2014). MSC: 20C34 20C40 20D08 20C15 PDFBibTeX XMLCite \textit{F. Ali} and \textit{J. Moori}, Hacet. J. Math. Stat. 43, No. 2, 153--171 (2014; Zbl 1300.20018)
Sozutov, A. I.; Kuznetsov, A. A.; Sinitsin, V. M. About systems of generators of some groups with 3-transpositions. (Russian. English summary) Zbl 1330.20072 Sib. Èlektron. Mat. Izv. 10, 285-301 (2013). MSC: 20G40 20F05 PDFBibTeX XMLCite \textit{A. I. Sozutov} et al., Sib. Èlektron. Mat. Izv. 10, 285--301 (2013; Zbl 1330.20072) Full Text: DOI
Cuypers, H.; Horn, M.; in ’t panhuis, J.; Shpectorov, S. Lie algebras and 3-transpositions. (English) Zbl 1301.17010 J. Algebra 368, 21-39 (2012). Reviewer: V. Gorbatsevich (Moskva) MSC: 17B20 20D05 PDFBibTeX XMLCite \textit{H. Cuypers} et al., J. Algebra 368, 21--39 (2012; Zbl 1301.17010) Full Text: DOI arXiv
Salarian, M. Reza A 2-local characterization of \(M(24)'\). (English) Zbl 1268.20018 Monatsh. Math. 167, No. 3-4, 583-588 (2012). Reviewer: Mohammad-Reza Darafsheh (Tehran) MSC: 20D08 PDFBibTeX XMLCite \textit{M. R. Salarian}, Monatsh. Math. 167, No. 3--4, 583--588 (2012; Zbl 1268.20018) Full Text: DOI
Heckenberger, I.; Lochmann, A.; Vendramin, L. Braided racks, Hurwitz actions and Nichols algebras with many cubic relations. (English) Zbl 1255.16034 Transform. Groups 17, No. 1, 157-194 (2012). Reviewer: Sorin Dascalescu (Bucureşti) MSC: 16T05 20F36 PDFBibTeX XMLCite \textit{I. Heckenberger} et al., Transform. Groups 17, No. 1, 157--194 (2012; Zbl 1255.16034) Full Text: DOI arXiv
Ali, Faryad; Moori, Jamshid The Fischer-Clifford matrices and character table of a maximal subgroup of \(Fi_{24}\). (English) Zbl 1195.20013 Algebra Colloq. 17, No. 3, 389-414 (2010). MSC: 20C34 20C40 20D08 20C15 PDFBibTeX XMLCite \textit{F. Ali} and \textit{J. Moori}, Algebra Colloq. 17, No. 3, 389--414 (2010; Zbl 1195.20013) Full Text: DOI Link
Hall, J. I. A characterization of the full wreath product. (English) Zbl 1163.20019 J. Algebra 300, No. 2, 529-554 (2006). MSC: 20E22 20F05 20N05 20B35 PDFBibTeX XMLCite \textit{J. I. Hall}, J. Algebra 300, No. 2, 529--554 (2006; Zbl 1163.20019) Full Text: DOI
Ali, Faryad; Moori, Jamshid The Fischer-Clifford matrices of a maximal subgroup of \(Fi_{24}'\). (English) Zbl 1065.20020 Represent. Theory 7, 300-321 (2003). MSC: 20C34 20D08 20E45 PDFBibTeX XMLCite \textit{F. Ali} and \textit{J. Moori}, Represent. Theory 7, 300--321 (2003; Zbl 1065.20020) Full Text: DOI
Virotte-Ducharme, Marguerite-Marie On some extensions of \(\text{SU}(n,4)\). (Sur certaines extensions de \(\text{SU}(n,4)\).) (French) Zbl 1042.20021 Bull. Soc. Math. Fr. 129, No. 1, 1-31 (2001). MSC: 20F05 20E22 20G40 PDFBibTeX XMLCite \textit{M.-M. Virotte-Ducharme}, Bull. Soc. Math. Fr. 129, No. 1, 1--31 (2001; Zbl 1042.20021) Full Text: DOI
Timmesfeld, Franz Georg Abstract root subgroups and simple groups of Lie-type. (English) Zbl 0984.20019 Monographs in Mathematics. 95. Basel: Birkhäuser. xiii, 389 p. (2001). Reviewer: Hendrik Van Maldeghem (Gent) MSC: 20E42 20G15 20D06 20-02 20D05 20F65 20H20 51A50 51E24 51F25 20F05 PDFBibTeX XMLCite \textit{F. G. Timmesfeld}, Abstract root subgroups and simple groups of Lie-type. Basel: Birkhäuser (2001; Zbl 0984.20019)
Kitazume, Masaaki Some non-split extensions of the orthogonal group \(\Omega(7,3)\). (English) Zbl 0954.20026 J. Algebra 224, No. 1, 59-76 (2000). Reviewer: A.Khammash (Makkah) MSC: 20G40 20E22 20D08 20N05 PDFBibTeX XMLCite \textit{M. Kitazume}, J. Algebra 224, No. 1, 59--76 (2000; Zbl 0954.20026) Full Text: DOI
AlAli, M. I.; Hering, Ch.; Neuman, A. Involutions and \(B\)-injectors of \(Fi_{22}\). (English) Zbl 1004.20005 Jñānābha 29, 11-15 (1999). MSC: 20D08 20D25 PDFBibTeX XMLCite \textit{M. I. AlAli} et al., Jñānābha 29, 11--15 (1999; Zbl 1004.20005)
Griess, Robert L. jun. A vertex operator algebra related to \(E_8\) with automorphism group \(O^+(10,2)\). (English) Zbl 0946.17012 Ferrar, J. (ed.) et al., The Monster and Lie algebras. Proceedings of a special research quarter at the Ohio State University, Columbus, OH, USA, May 1996. Berlin: de Gruyter. Ohio State Univ. Math. Res. Inst. Publ. 7, 43-58 (1998). Reviewer: Xu Xiaoping (Kowloon) MSC: 17B69 20E32 PDFBibTeX XMLCite \textit{R. L. Griess jun.}, Ohio State Univ. Math. Res. Inst. Publ. 7, 43--58 (1998; Zbl 0946.17012)
Zara, F. Action of reflection groups on nilpotent groups. (English) Zbl 0873.20027 Eur. J. Comb. 18, No. 2, 231-242 (1997). Reviewer: S.Heiss (Halle) MSC: 20F65 20F05 20D05 20E32 05C25 51F15 PDFBibTeX XMLCite \textit{F. Zara}, Eur. J. Comb. 18, No. 2, 231--242 (1997; Zbl 0873.20027) Full Text: DOI
Cuypers, Hans A characterization of the symplectic and unitary \(3\)-transposition groups. (English) Zbl 0885.20021 Commun. Algebra 25, No. 11, 3379-3403 (1997). Reviewer: G.Stroth (Halle) MSC: 20F05 20G40 51F25 51E24 20F65 PDFBibTeX XMLCite \textit{H. Cuypers}, Commun. Algebra 25, No. 11, 3379--3403 (1997; Zbl 0885.20021) Full Text: DOI
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)
Hall, J. I. Some \(3\)-transposition cohomology. (English) Zbl 0857.20032 Commun. Algebra 24, No. 12, 3827-3838 (1996). Reviewer: U.Dempwolff (Kaiserslautern) MSC: 20J06 20G10 20F65 20G40 PDFBibTeX XMLCite \textit{J. I. Hall}, Commun. Algebra 24, No. 12, 3827--3838 (1996; Zbl 0857.20032) Full Text: DOI
Norton, S. P. Free transposition groups. (English) Zbl 0844.20010 Commun. Algebra 24, No. 2, 425-432 (1996). Reviewer: R.Wilson (Birmingham) MSC: 20D08 20F05 PDFBibTeX XMLCite \textit{S. P. Norton}, Commun. Algebra 24, No. 2, 425--432 (1996; Zbl 0844.20010) Full Text: DOI
Cuypers, H.; Hall, J. I. The \(3\)-transposition groups with trivial center. (English) Zbl 0840.20025 J. Algebra 178, No. 1, 149-193 (1995). Reviewer: G.Stroth (Halle) MSC: 20F05 20E32 20F50 PDFBibTeX XMLCite \textit{H. Cuypers} and \textit{J. I. Hall}, J. Algebra 178, No. 1, 149--193 (1995; Zbl 0840.20025) Full Text: DOI
Hall, J. I.; Soicher, L. H. Presentations of some \(3\)-transposition groups. (English) Zbl 0830.20052 Commun. Algebra 23, No. 7, 2517-2559 (1995). Reviewer: G.Stroth (Halle) MSC: 20F05 20D08 PDFBibTeX XMLCite \textit{J. I. Hall} and \textit{L. H. Soicher}, Commun. Algebra 23, No. 7, 2517--2559 (1995; Zbl 0830.20052) Full Text: DOI
Moori, Jamshid Subgroups of \(3\)-transposition groups generated by four \(3\)- transpositions. (English) Zbl 0822.20013 Quaest. Math. 17, No. 1, 83-94 (1994). Reviewer: D.Held (Mainz) MSC: 20D08 20F05 20F65 PDFBibTeX XMLCite \textit{J. Moori}, Quaest. Math. 17, No. 1, 83--94 (1994; Zbl 0822.20013) Full Text: DOI
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)
Hall, J. I. The general theory of \(3\)-transposition groups. (English) Zbl 0805.20025 Math. Proc. Camb. Philos. Soc. 114, No. 2, 269-294 (1993). Reviewer: G.Stroth (Berlin) MSC: 20E32 20F05 20B07 20D05 20F65 20B10 20B30 PDFBibTeX XMLCite \textit{J. I. Hall}, Math. Proc. Camb. Philos. Soc. 114, No. 2, 269--294 (1993; Zbl 0805.20025) Full Text: DOI
Cuypers, H.; Hall, J. I. The classification of \(3\)-transposition groups with trivial center. (English) Zbl 0817.20036 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, 121-138 (1992). Reviewer: G.Stroth (Halle) MSC: 20E32 20F65 20D08 20F05 PDFBibTeX XMLCite \textit{H. Cuypers} and \textit{J. I. Hall}, Lond. Math. Soc. Lect. Note Ser. 165, 121--138 (1992; Zbl 0817.20036)
Linton, Stephen A.; Wilson, Robert A. The maximal subgroups of the Fischer groups \(Fi_{24}\) and \(Fi'_{24}\). (English) Zbl 0695.20016 Proc. Lond. Math. Soc., III. Ser. 63, No. 1, 113-164 (1991). Reviewer: S.A.Linton MSC: 20D08 20E28 20-04 20D30 20B05 20B40 PDFBibTeX XMLCite \textit{S. A. Linton} and \textit{R. A. Wilson}, Proc. Lond. Math. Soc. (3) 63, No. 1, 113--164 (1991; Zbl 0695.20016) Full Text: DOI
Hall, J. I. Some 3-transposition groups with normal 2-subgroups. (English) Zbl 0669.20024 Proc. Lond. Math. Soc., III. Ser. 58, No. 1, 112-136 (1989). Reviewer: U.Dempwolff MSC: 20F05 20F50 20B07 20E32 20G15 20G40 20B35 PDFBibTeX XMLCite \textit{J. I. Hall}, Proc. Lond. Math. Soc. (3) 58, No. 1, 112--136 (1989; Zbl 0669.20024) Full Text: DOI
Kleidman, Peter B.; Parker, Richard A.; Wilson, Robert A. The maximal subgroups of the Fischer group \(Fi_{23}\). (English) Zbl 0629.20006 J. Lond. Math. Soc., II. Ser. 39, No. 1, 89-101 (1989). MSC: 20D08 20D30 PDFBibTeX XMLCite \textit{P. B. Kleidman} et al., J. Lond. Math. Soc., II. Ser. 39, No. 1, 89--101 (1989; Zbl 0629.20006) Full Text: DOI
Norton, Simon P. On the group \(Fi_{24}\). (English) Zbl 0636.20013 Geom. Dedicata 25, 483-501 (1988). Reviewer: U.Dempwolff MSC: 20D08 20F29 20F05 PDFBibTeX XMLCite \textit{S. P. Norton}, Geom. Dedicata 25, 483--501 (1988; Zbl 0636.20013) Full Text: DOI
Cooperstein, Bruce N. The geometry of root subgroups in exceptional groups. II. (English) Zbl 0536.20010 Geom. Dedicata 15, 1-45 (1983). Reviewer: K.Strambach MSC: 20D05 20G40 05B25 20B25 51E30 PDFBibTeX XMLCite \textit{B. N. Cooperstein}, Geom. Dedicata 15, 1--45 (1983; Zbl 0536.20010) Full Text: DOI
Cameron, P. J.; Goethals, J.-M.; Seidel, J. J. The Krein condition, spherical designs, Norton algebras and permutation groups. (English) Zbl 0399.20001 Nederl. Akad. Wet., Proc., Ser. A 81, 196-206 (1978). MSC: 20B15 51M05 05B30 PDFBibTeX XMLCite \textit{P. J. Cameron} et al., Nederl. Akad. Wet., Proc., Ser. A 81, 196--206 (1978; Zbl 0399.20001)
Smith, Stephen D. Nonassociative commutative algebras for triple covers of 3-transposition groups. (English) Zbl 0391.20011 Mich. Math. J. 24, 273-287 (1977). MSC: 20D06 20F29 20D08 20G99 17A01 PDFBibTeX XMLCite \textit{S. D. Smith}, Mich. Math. J. 24, 273--287 (1977; Zbl 0391.20011) Full Text: DOI