Extended cut groups

2025/03/19 by García-Blàzquez, Àngel, Kaur, Gurleen, Maheshwary, Sugandha · 1 citation
#16S34 #16U60 #20C05 #20C15 #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2503.15658

Abstract

A finite group G is said to be a cut group if all central units in the integral group ring ZG are trivial. In this article, we extend the notion of cut groups, by introducing extended cut groups. We study the properties of extended cut groups analogous to those known for cut groups and also characterise some substantial classes of groups having the property of being extended cut. A complete classification of extended cut split metacyclic groups has been presented.

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• Cut Groups: The Progress And The Problems

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