
handle: 10447/55680
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
$PC$-hypercentral groups; $CC$-hypercentral groups; upper central series; chains of normal subgroups
$PC$-hypercentral groups; $CC$-hypercentral groups; upper central series; chains of normal subgroups
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