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A characterization of Nested Groups in terms of conjugacy classes

Published 12 Sep 2019 in math.GR | (1909.05849v2)

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.

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