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The Maximal Subgroups of the Baby Monster, I

โœ Scribed by Robert A. Wilson


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
671 KB
Volume
211
Category
Article
ISSN
0021-8693

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โœฆ Synopsis


In this paper we describe the completion of the determination of the maximal subgroups of the Baby Monster simple group. Our results are proved using computer calculations with matrix generators for the group. The full details of the calculations will appear elsewhere.


๐Ÿ“œ SIMILAR VOLUMES


A New Maximal Subgroup of the Monster
โœ P.E. Holmes; R.A. Wilson ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 108 KB

We use our computer construction of the Monster sporadic simple group to find a new maximal subgroup PGL 2 (29). In particular, we prove containment of L 2 (29) in , thereby answering a long-standing open question.

Presenting the Baby Monster
โœ A.A. Ivanov ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 854 KB
The maximal subgroups of G2(4)
โœ N.T Petrov; K.B Tchakerian ๐Ÿ“‚ Article ๐Ÿ“… 1982 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 875 KB
Elementary Abelian 3-Subgroups of the Mo
โœ Thomas M. Richardson ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 297 KB

We classify the maximal elementary abelian 3-subgroups of the Monster simple group. There are 17 conjugacy classes of such subgroups. Fifteen of the classes have groups of order 3 7 , and the other classes have groups of order 3 6 and 3 8 . The classification uses the construction of 3-local subgrou