Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups.

DOI10.1016/j.jalgebra.2009.05.042zbMath1185.20020OpenAlexW2008673225MaRDI QIDQ1048954

John Shareshian, Michael Aschbacher

Publication date: 8 January 2010

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.05.042

zbMATH Keywords

intervalssymmetric groupsalternating groupssubgroup lattices

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Representation theory of lattices (06B15) Subalgebras, congruence relations (08A30) Subgroups of symmetric groups (20B35)

Related Items (6)

EMBEDDING PERMUTATION GROUPS INTO WREATH PRODUCTS IN PRODUCT ACTION ⋮ Overgroup lattices in finite groups of Lie type containing a parabolic. ⋮ Boolean lattices in finite alternating and symmetric groups ⋮ The subgroup structure of finite groups ⋮ Generation of fusion systems of characteristic 2-type. ⋮ 2-minimal subgroups of monomial, linear and unitary groups

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• Topology of order complexes of intervals in subgroup lattices.
• OVERGROUPS OF PRIMITIVE GROUPS
• On intervals in subgroup lattices of finite groups
• Maximal subgroups of finite groups
• The classification of the finite simple groups

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