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.
Russo, F. (2007). $MC$-hypercentral groups. INTERNATIONAL JOURNAL OF CONTEMPORARY MATHEMATICAL SCIENCES, 2(29), 1441-1449.
$MC$-hypercentral groups
RUSSO, Francesco
2007-01-01
Abstract
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.
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