Symmetric generation of the Higman-Sims group

DOI10.1006/jabr.1995.1028zbMath0824.20014OpenAlexW1972211321MaRDI QIDQ1346102

Robert T. Curtis

Publication date: 30 October 1995

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1028

zbMATH Keywords

maximal subgroupspresentationsHigman-Sims groupMathieu groupsgenerating set of involutionsHoffman-singleton graphinvolutions indexed by verticesrank three permutation groupsrelations defined on pentagonssporadic simple group \(HS\)

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Maximal subgroups (20E28) Series and lattices of subgroups (20D30) Generators, relations, and presentations of groups (20F05)

Related Items (4)

Symmetric Generation and Existence of McL : 2, the Automorphism Group of the McLaughlin Group ⋮ Symmetric generation and existence of \(J_3:2\), the automorphism group of the third Janko group. ⋮ Monomial modular representations and symmetric generation of the Harada-Norton group. ⋮ Unnamed Item

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