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