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.
Is J1 a Subgroup of the Monster?
โ Scribed by Wilson, R. A.
- Book ID
- 120092275
- Publisher
- Oxford University Press
- Year
- 1986
- Tongue
- English
- Weight
- 60 KB
- Volume
- 18
- Category
- Article
- ISSN
- 0024-6093
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๐ SIMILAR VOLUMES
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
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.