Search results for "Z-group"

showing 3 items of 3 documents

On the loewy series of the group algebra of groups of smallp-Length∗

1989

(1989). On the loewy series of the group algebra of groups of small p-Length. Communications in Algebra: Vol. 17, No. 5, pp. 1249-1274.

AlgebraCombinatoricsAlgebra and Number TheorySeries (mathematics)Quaternion groupGroup algebraAlgebra over a fieldCycle graph (algebra)Z-groupMathematicsGroup ringCommunications in Algebra
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On minimal subgroups of finite groups

1996

Pure mathematicsGroup of Lie typeLocally finite groupGeneral MathematicsSporadic groupMathematicsZ-group
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$MC$-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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