On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups
On Groups with the Same Set of Conjugacy Class Sizes as Nilpotent Groups
Сибирские электронные математические известия, 22, 2, стр. 928-932 (2025)
Аннотация:
We construct examples of groups which have the same set of conjugacy class sizes as nilpotent groups, while having a trivial centre. This answers a question posed by A. R. Camina in 2006.
Ключевые слова: finite group, nilpotent group, conjugacy class.