Finite groups with many isolated subgroups

2021/11/28 by Marius Tărnăuceanu, Tărnăuceanu, Marius
Mathematics · #FOS: Mathematics #Group Theory (math.GR) #math.GR

paper · pdf · doi:10.48550/arxiv.2111.14015

arxiv created 2021/11/28 · arxiv updated 2021/11/30

Abstract

Given a finite group G, we denote by L(G) the subgroup lattice of G and by \rm Isolated(G) the set of isolated subgroups of G. In this note, we describe finite groups G such that |\rm Isolated(G)|=|L(G)|-k, where k=0,1,2.

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