The Maximal Subgroups of the Baby Monster, I
โ 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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โฆ 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.
๐ SIMILAR VOLUMES
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.
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