On the Relationships Between Central Series in Some Locally Finite Groups
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DOI: 10.1007/s11253-017-1318-6
Abstract: It is shown that the class of locally finite divisible-by-bounded groups is both a Schur class and a Baer class. read more here.
Keywords: relationships central; finite groups; series locally; class ... See more keywords
Relationships between the canonical ascending and descending central series of ideals of an associative algebra
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DOI: 10.1080/00927872.2016.1226871
Abstract: ABSTRACT We consider the canonical descending and ascending central series of ideals of an associative algebra. In particular, we prove that some ideal in the descending central series is finite-dimensional if and only if some… read more here.
Keywords: associative algebra; series ideals; ideals associative; descending central ... See more keywords
New Facts about the Vanishing Off Subgroup $V(G)$
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DOI: 10.4153/s0008439519000195
Abstract: Abstract In this manuscript, we generalize Lewis’s result about a central series associated with the vanishing off subgroup. We write $V_{1}=V(G)$ for the vanishing off subgroup of $G$, and $V_{i}=[V_{i-1},G]$ for the terms in this… read more here.
Keywords: central series; vanishing subgroup; facts vanishing; new facts ... See more keywords