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Qingjun Kong
Articles written in Proceedings – Mathematical Sciences
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Volume 120 Issue 2 April 2010 pp 139-140
A Note on Two Camina's Theorems on Conjugacy Class Sizes
Let 𝐺 be a finite group. We mainly investigate how certain arithmetical conditions on conjugacy class sizes of some elements of biprimary order of 𝐺 influence the structure of 𝐺. Some known results are generalized.
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Volume 122 Issue 3 August 2012 pp 335-337
Finite Groups with Three Conjugacy Class Sizes of some Elements
Let 𝐺 be a finite group. We prove as follows: Let 𝐺 be a 𝑝-solvable group for a fixed prime 𝑝. If the conjugacy class sizes of all elements of primary and biprimary orders of 𝐺 are $\{1,p^a,n\}$ with 𝑎 and 𝑛 two positive integers and $(p,n)=1$, then 𝐺 is 𝑝-nilpotent or 𝐺 has abelian Sylow 𝑝-subgroups.
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Proceedings – Mathematical Sciences
Current Issue
Volume 129 | Issue 5
November 2019
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Proceedings – Mathematical Sciences | News
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Editorial Note on Continuous Article Publication
Posted on July 25, 2019Click here for Editorial Note on CAP Mode
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