학술논문
GVZ-groups, Flat groups, and CM-Groups
Document Type
article
Author
Source
Comptes Rendus. Mathématique, Vol 359, Iss 3, Pp 355-361 (2021)
Subject
Language
English
French
French
ISSN
1778-3569
Abstract
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.