Congruence lattices of finite algebras and factorizations of groups

DOI10.1080/00927879008824052zbMath0706.08001OpenAlexW2065175909WikidataQ106072148 ScholiaQ106072148MaRDI QIDQ3487450

Jan Saxl, Péter P. Pálfy

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824052

zbMATH Keywords

congruence latticefinite algebrasubspace lattice

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Subalgebras, congruence relations (08A30) Finite simple groups and their classification (20D05) Products of subgroups of abstract finite groups (20D40)

Related Items (3)

Factorizations of primitive permutation groups ⋮ On congruence permutable $G$-sets ⋮ On subgroups of index p³

Cites Work

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• \(M_ 7\) as an interval in a subgroup lattice
• The factorizations of the finite exceptional groups of Lie type
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• An interval in the subgroup lattice of a finite group which is isomorphic to \(M_ 7\)
• On Feit's examples of intervals in subgroup lattices
• Congruence lattices of finite algebras and intervals in subgroup lattices of finite groups

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