A characterization of Nested Groups in terms of conjugacy classes

DOI10.5802/CRMATH.18arXiv1909.05849MaRDI QIDQ6325193

Publication date: 12 September 2019

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.

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15)

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