A characterization of Nested Groups in terms of conjugacy classes

2019/09/12 by Burkett, Shawn T., Lewis, Mark L. · 1 citation
#20C15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1909.05849

Abstract

A group is nested if the centers of the irreducible characters form a chain. In this paper, we will show that there is a set of subgroups associated with the conjugacy classes of group so that a group is nested if and only if these subgroups form a chain.

Cited by

• A Combinatorial Technique for the Wedderburn Decomposition of Rational Group Algebras of Nested GVZ p-groups

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