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
Siberian Electronic Mathematical Reports, 22, 2, pp. 928-932 (2025)
Abstract:
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.
Keywords: finite group, nilpotent group, conjugacy class.