The one-prime power hypothesis for conjugacy classes restricted to normal subgroups and quotient groups

We say that a group $G$ satisfies the one-prime power hypothesis for conjugacy classes if the greatest common divisor for all pairs of distinct conjugacy class sizes are prime powers‎. ‎Insoluble groups which satisfy the one-prime power hypothesis have been classified‎. ‎However it has remained an o...

Full description

Bibliographic Details
Main Author: Julian Brough
Format: Article
Language:English
Published: University of Isfahan 2019-12-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_23001_d14fcde9b40ecb50266a73a05dc9479a.pdf