The Generalised Pro-Fitting Subgroup of a Profinite Group

Reid, Colin
(2013) Communications in Algebra — Vol. 41, n° 1, p. 294-308 (2013)

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  • Reid, ColinUCLouvain
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Abstract
The 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. © 2013 Copyright Taylor and Francis Group, LLC.
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Reid, C. (2013). The Generalised Pro-Fitting Subgroup of a Profinite Group. Communications in Algebra, 41(1), 294-308. https://doi.org/10.1080/00927872.2011.629269 (Original work published 2013)