ON THE POSET OF NON-TRIVIAL PROPER SUBGROUPS OF A FINITE GROUP

DOI10.1142/S0219498803000453zbMath1050.20012MaRDI QIDQ4474461

Maria Silvia Lucido

Publication date: 12 July 2004

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

connected componentsFrobenius groupsfinite simple groupsposets of subgroups

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05)

Related Items (2)

Connectivity of intersection graphs of finite groups ⋮ Dominating sets in intersection graphs of finite groups

Cites Work

• Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. (Homotopy type of lattices and lattices of subgroups of a finite groups)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• On Quillen's conjecture for the \(p\)-groups complex
• The coset poset and probabilistic zeta function of a finite group

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