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New Facts about the Vanishing Off Subgroup $V(G)$

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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 $V_{i}=[V_{i-1},G]$… Click to show full 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 central series. Lewis proved that there exists a positive integer $n$ such that if $V_{3}

Keywords: central series; vanishing subgroup; facts vanishing; new facts

Journal Title: Canadian Mathematical Bulletin
Year Published: 2019

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