On Feit's examples of intervals in subgroup lattices

DOI10.1016/0021-8693(88)90230-XzbMath0651.20028OpenAlexW1985837802MaRDI QIDQ1106324

Péter P. Pálfy

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90230-x

zbMATH Keywords

alternating groupsintervals in subgroup latticesrepresentations of modular lattices of length two

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Representation theory of lattices (06B15)

Related Items (8)

On representing finite lattices as intervals in subgroup lattices of finite groups ⋮ Congruence lattices of finite algebras and factorizations of groups ⋮ GENERATION OF SECOND MAXIMAL SUBGROUPS AND THE EXISTENCE OF SPECIAL PRIMES ⋮ Strongly generating elements in finite and profinite groups ⋮ On imprimitive groups with small degree ⋮ Rich intervals in subgroup lattices ⋮ On subgroups of index p³ ⋮ Overgroups of second maximal subgroups

Cites Work

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• \(M_ 7\) as an interval in a subgroup lattice
• An interval in the subgroup lattice of a finite group which is isomorphic to \(M_ 7\)
• Every finite lattice can be embedded in a finite partition lattice
• Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups
• On finite simple groups of characteristic 2 type
• Lattices, equivalence relations, and subgroups

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