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arXiv · 1909.05849

A characterization of Nested Groups in terms of conjugacy classes

Shawn T. Burkett·Mark L. Lewis
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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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Shawn T. Burkett, Mark L. Lewis. 2019-09-12. A characterization of Nested Groups in terms of conjugacy classes. https://arxiv.org/abs/1909.05849

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