A CHARACTER-THEORY-FREE CHARACTERIZATION OF THE MATHIEU-GROUP M12

被引：1

作者：

HELD, D

DEANGELIS, JH

机构：

[1] Fachbereich Mathematik, Universität Mainz

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS | 1990年 / 49卷

关键词：

D O I：

10.1017/S1446788700030494

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The known characterization of the Mathieu group M12 by the structure of the centralizer of a 2-central involution is based on the application of the theory of exceptional characters and uses in addition a block theoretic result which asserts that a simple group of order |M12| is isomorphic to M12. The details of the proof of the latter result had never been published. We show here that M12 can be handled in a completely elementary and group theoretical way. © 1990, Australian Mathematical Society. All rights reserved.

引用

页码：212 / 230

页数：19

共 50 条

[11] On a rank five geometry of Meixner for the Mathieu group M12
Leemans, D
GEOMETRIAE DEDICATA, 2001, 85 (1-3) : 273 - 281
[12] The Mathieu group M12 and its pseudogroup extension M13
Conway, John H.
Elkies, Noam D.
Martin, Jeremy L.
EXPERIMENTAL MATHEMATICS, 2006, 15 (02) : 223 - 236
[13] THE STRUCTURE OF THE PROJECTIVE INDECOMPOSABLE MODULES OF THE MATHIEU-GROUP M(12) IN CHARACTERISTIC 2 AND 3
SCHNEIDER, GJA
ARCHIV DER MATHEMATIK, 1993, 60 (04) : 321 - 326
[14] THE PROJECTIVE CHARACTERS OF THE MATHIEU-GROUP M22
HUMPHREYS, JF
JOURNAL OF ALGEBRA, 1982, 76 (01) : 1 - 24
[15] MATHIEU-GROUP M24 AND MODULAR-FORMS
KOIKE, M
NAGOYA MATHEMATICAL JOURNAL, 1985, 99 (SEP) : 147 - 157
[16] On flag-transitive incidence geometries of rank 6 for the Mathieu group M12
Buekenhout, F
Dehon, M
Leemans, D
GROUPS AND GEOMETRIES, 1998, : 39 - 54
[17] The Loewy structure of the projective modules of the Mathieu group M12 and its automorphism group in characteristic 3
Koshitani, S
Waki, K
COMMUNICATIONS IN ALGEBRA, 1999, 27 (01) : 1 - 36
[18] A Quantitative Characterization of Mathieu Group M-12
Moghaddamfar, A. R.
Rahbariyan, S.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2015, 39 (02) : 235 - 248
[19] On the Projective Character Tables of the Maximal Subgroups of M11, M12 and Aut(M12)
Prins, Abraham Love
ADVANCES IN GROUP THEORY AND APPLICATIONS, 2021, 12 : 47 - 70
[20] ON THE UNIQUENESS OF A REGULAR THIN NEAR OCTAGON ON 288 VERTICES (OR THE SEMIBIPLANE BELONGING TO THE MATHIEU-GROUP M(12))
BROUWER, AE
DISCRETE MATHEMATICS, 1994, 126 (1-3) : 13 - 27

← 1 2 3 4 5 →