Intervals in the subgroup lattices of the alternating and symmetric groups of prime degree

DOI10.1515/JGT.2008.065zbMath1166.20015MaRDI QIDQ3619545

Philipp Perepelitsky

Publication date: 8 April 2009

Published in: Journal of Group Theory (Search for Journal in Brave)

zbMATH Keywords

symmetric groupsintervals in subgroup lattices of finite groupsalternating groupsmodular latticesfinite latticeslength two latticesfinite group interval lattices

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Series and lattices of subgroups (20D30) Representation theory of lattices (06B15) Subgroups of symmetric groups (20B35)

Related Items (1)

Overgroups of primitive groups. II.

Cites Work

• Subgroups of prime power index in a simple group
• A classification of the maximal subgroups of the finite alternating and symmetric groups
• Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups
• On representing finite lattices as intervals in subgroup lattices of finite groups

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