One-prime power hypothesis for conjugacy class sizes

A finite group $G$ satisfies the on-prime power hypothesis for conjugacy class sizes if any two conjugacy class sizes $m$ and $n$ are either equal or have a common divisor a prime power. Taeri conjectured that an insoluble group satisfying this condition is isomorphic to $S times A$ where $A$ is abe...

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Bibliographic Details
Main Authors: Alan Camina, Rachel Camina
Format: Article
Language:English
Published: University of Isfahan 2017-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://ijgt.ui.ac.ir/article_12043_81116a607ca09117e53c05589eda4c89.pdf