Galois connections between subgroup lattices and module lattices

DOI10.1007/BF03323099zbMath0818.20019MaRDI QIDQ1193244

Michael Weidner

Publication date: 27 September 1992

Published in: Results in Mathematics (Search for Journal in Brave)

zbMATH Keywords

second Loewy layerfinite groupchief seriesprojective covermaximal subgroupcomplemented \(p\)-chief factorsnon \(p\)-solvable groupssubgroups of \(p\) power index

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite nilpotent groups, (p)-groups (20D15) Products of subgroups of abstract finite groups (20D40) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

On the poset of conjugacy classes of subgroups of π-power index ⋮ The combinatorics and the homology of the poset of subgroups of \(p\)-power index

Cites Work

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• Classes of finite groups and their properties
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• Die Praefrattinigruppe im Intervall eines Untergruppenverbandes. (The prefrattini group in the interval of a subgroup lattice)
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• The Structure of the Group Ring of a p-Group Over a Modular Field