More on the group \(Y_{555}\) and the projective plane of order 3

DOI10.1016/0021-8693(91)90072-GzbMath0724.20016MaRDI QIDQ2644762

Leonard H. Soicher

Publication date: 1991

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

zbMATH Keywords

Coxeter relationssubgroupsprojective planerelationwreath productCoxeter graphincidence graphepimorphismcoset enumerationFischer-Griess monster group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Subgroup theorems; subgroup growth (20E07) Generators, relations, and presentations of groups (20F05) Finite affine and projective planes (geometric aspects) (51E15) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items

On a conjecture of Martin on the parameters of completely regular codes and the classification of the completely regular codes in the biggs-smith graph ⋮ The Monster is fabulous ⋮ Locally toroidal polytopes of rank 6 and sporadic groups ⋮ The maximal subgroups of F₄(2) and its automorphism group ⋮ \(Y\)-groups via transitive extension

Cites Work

• From the Monster to the bimonster
• Double coset enumeration
• The maximal subgroups of F₄(2) and its automorphism group
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