The Structure of $G/Φ(G)$ in Terms of $σ(G)$

dc.creatorJamali, Alireza
dc.creatorMousavi, Hamid
dc.date2005-07-19
dc.date.accessioned2026-07-07T05:21:50Z
dc.date.available2026-07-07T05:21:50Z
dc.descriptionLet $G$ be a finite group. We let $\f{m}(G)$ and $\sig(G)$ denote the number of maximal subgroups of $G$ and the least positive integer $n$ such that $G$ is written as the union of $n$ proper subgroups, respectively. In this paper we determine the structure of $G/Φ(G)$ when $G$ is a finite soluble group with $\f{m}(G)\leq 2\sig(G)$.
dc.description10 pages, to appear in Algebra Colloquium
dc.identifierhttps://arxiv.org/abs/math/0507391
dc.identifierhttp://arxiv.org/abs/math/0507391
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75837
dc.subjectGroup Theory
dc.subject20D10
dc.titleThe Structure of $G/Φ(G)$ in Terms of $σ(G)$
dc.typetext

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