The generalised Fitting subgroup of a profinite group

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dc.creatorReid, Colin
dc.date2009-04-02
dc.date.accessioned2026-07-07T12:59:37Z
dc.date.available2026-07-07T12:59:37Z
dc.descriptionThe generalised Fitting subgroup of a finite group is the group generated by all subnormal subgroups that are either nilpotent or quasisimple. The importance of this subgroup in finite group theory stems from the fact that it always contains its own centraliser, so that any finite group is an abelian extension of a group of automorphisms of its generalised Fitting subgroup. We define a class of profinite groups which generalises this phenomenon, and explore some consequences for the structure of profinite groups.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0904.0424
dc.identifierhttp://arxiv.org/abs/0904.0424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/225629
dc.subjectGroup Theory
dc.titleThe generalised Fitting subgroup of a profinite group
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