Search results for "CA-group"

showing 2 items of 12 documents

$MC$-hypercentral groups

2007

This paper is devoted to the imposition of some chain conditions on groups having a generalized central series. It is also given a characterization of MC-groups with finite abelian section rank: such class of groups is a suitable enlargement of the class of FC-groups. Mathematics Subject Classification: 20F24; 20F14

chains of normal subgroupsClass (set theory)Rank (linear algebra)$CC$-hypercentral groupRank of an abelian group$PC$-hypercentral groupAlgebraSettore MAT/02 - AlgebraSection (category theory)Mathematics Subject ClassificationCA-groupSettore MAT/03 - GeometriaAbelian groupupper central serieZ-groupMathematics
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The Fitting Subgroup and Some Injectors of Radical Locally Finite Groups with min-pfor Allp

2003

Abstract This work was intended as an attempt to continue the study of the class ℬ of generalised nilpotent groups started in a previous paper. We present some results concerning the Fitting subgroup and the ℬ-injectors of a radical locally finite group satisfying min-p for all p.

p-groupDiscrete mathematicsPure mathematicsNilpotentAlgebra and Number TheoryLocally finite groupExtra special groupCA-groupNilpotent groupCentral seriesFitting subgroupMathematicsCommunications in Algebra
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