Groups of prime-power order with a small second derived quotient

dc.creatorSchneider, Csaba
dc.date2003-01-09
dc.date.accessioned2026-07-07T04:54:20Z
dc.date.available2026-07-07T04:54:20Z
dc.descriptionFor odd primes we prove some structure theorems for finite $p$-groups $G$, such that $G''\neq 1$ and $|G'/G''|=p^3$. Building on results of Blackburn and Hall, it is shown that $\lcs G3$ is a maximal subgroup of $G'$, the group $G$ has a central decomposition into two simpler subgroups, and, moreover, $G'$ has one of two isomorphism types.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0301078
dc.identifierhttp://arxiv.org/abs/math/0301078
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66213
dc.subjectGroup Theory
dc.subject20D15, 20-04
dc.titleGroups of prime-power order with a small second derived quotient
dc.typetext

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