TL;DR
This paper introduces the vanishing-off subgroup in nonabelian groups, exploring its structure and the related quotient and central series to deepen understanding of group theory properties.
Contribution
It defines the vanishing-off subgroup and analyzes its structure and associated quotient and central series, providing new insights into nonabelian group properties.
Findings
Characterization of the vanishing-off subgroup
Analysis of the quotient structure
Insights into the central series related to the subgroup
Abstract
In this paper, we define the vanishing-off subgroup of a nonabelian group. We study the structure of the quotient of this subgroup and a central series obtained from this subgroup.
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