On a conjecture of G. E. Wall.

DOI10.1016/j.jalgebra.2006.10.047zbMath1134.20023OpenAlexW2056707535WikidataQ105891138 ScholiaQ105891138MaRDI QIDQ2466501

Aner Shalev, Martin W. Liebeck, László Pyber

Publication date: 15 January 2008

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.10.047

zbMATH Keywords

finite groupsfinite simple groupsnumbers of maximal subgroups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Maximal subgroups (20E28) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (20)

Bounds on the number and sizes of conjugacy classes in finite Chevalley groups with applications to derangements ⋮ Generating minimally transitive permutation groups. ⋮ On examples of intermediate subfactors from conformal field theory ⋮ THE DENSITY OF SUBGROUP INDICES ⋮ A polynomial bound for the number of maximal systems of imprimitivity of a finite transitive permutation group ⋮ A conjecture on bipartite graphical regular representations ⋮ On the maximum number of subgroups of a finite group ⋮ Invariable generation and the Chebotarev invariant of a finite group. ⋮ On intermediate subfactors of Goodman-de la Harpe-Jones subfactors ⋮ An explicit upper bound on the number of subgroups of a finite group ⋮ On a problem about tensor products of subfactors ⋮ On a subfactor generalization of Wall's conjecture ⋮ Most primitive groups are full automorphism groups of edge-transitive hypergraphs. ⋮ Low degree representations of simple Lie groups ⋮ Representation growth in positive characteristic and conjugacy classes of maximal subgroups. ⋮ The Chebotarev invariant of a finite group: A conjecture of Kowalski and Zywina ⋮ Computation of Kazhdan-Lusztig polynomials and some applications to finite groups ⋮ Finite groups with large Chebotarev invariant ⋮ Probabilistic and Asymptotic Aspects of Finite Simple Groups ⋮ On maximal subfactors from quantum groups

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