arXiv:1909.05849 Abstract | arXiv Analytics

arXiv:1909.05849 [math.GR]Abstract References Reviews Resources

A characterization of Nested Groups in terms of conjugacy classes

Published 2019-09-12Version 1

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.

Comments: 4 pages

Categories: math.GR

Subjects: 20C15

Keywords: conjugacy classes, nested groups, characterization, subgroups form

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