Classification of subgroups isomorphic to in the Monster

DOI10.1112/S1461157013000247zbMath1297.20014arXiv1304.5338MaRDI QIDQ5170248

Robert A. Wilson

Publication date: 23 July 2014

Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.5338

zbMATH Keywords

maximal subgroupsMonsterfinite simple groups

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Software, source code, etc. for problems pertaining to group theory (20-04)

Related Items (5)

Every in the Monster contains -elements ⋮ Maximal subgroups of sporadic groups ⋮ Some remarks on global/local conjectures ⋮ Is the Suzuki group Sz(8) a subgroup of the Monster? ⋮ A note on involution centralizers in black box groups

Cites Work

• On subgroups of the Monster containing \(A_5\)'s.
• A classification of subgroups of the Monster isomorphic to \(S_4\) and an application.
• An improved method for generating the centralizer of an involution
• A new maximal subgroup of the Monster
• A correction to the 41-structure of the Monster, a construction of a new maximal subgroup L₂ (41) and a new Moonshine phenomenon
• ANATOMY OF THE MONSTER: II
• Constructive membership in black-box groups
• The Finite Simple Groups
• Is J ¹ a Subgroup of the Monster?
• A NEW COMPUTER CONSTRUCTION OF THE MONSTER USING 2-LOCAL SUBGROUPS
• PSL2(59) IS A SUBGROUP OF THE MONSTER

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