Can I read Real Class Sizes on EtoBox?

Real Class Sizes by Tong-Viet, Hung P. is a scholarly article available to read on EtoBox.

What is Real Class Sizes about?

In this paper, we study the structures of finite groups using some arithmetic conditions on the sizes of real conjugacy classes. We prove that a finite group is solvable if the prime graph on the real class sizes of the group is disconnected. Moreover, we show that if the sizes of all non-central real conjugacy classes of a finite group $G$ have the same $2$-part and the Sylow $2$-subgroup of $G$ satisfies certain condition, then $G$ is solvable.

Author

Tong-Viet, Hung P.

Published

2018

Language

EN