gvz组、Flat组和cm组

arXiv: Group Theory Pub Date : 2020-09-29 DOI:10.5802/CRMATH.185

Shawn T. Burkett, M. Lewis

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引用次数: 2

摘要

我们证明一个群是gvz群当且仅当它是平面群。我们证明了一个gvz群的幂零类是由不同程度的不可约字符的个数所限定的。我们还证明了某些cm -群可以被表征为gvz群，其不可约的特征值位于素域。

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GVZ-groups, Flat groups, and CM-Groups

We show that a group is a GVZ-group if and only if it is a flat group. We show that the nilpotence class of a GVZ-group is bounded by the number of distinct degrees of irreducible characters. We also show that certain CM-groups can be characterized as GVZ-groups whose irreducible character values lie in the prime field.

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arXiv: Group Theory

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