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On the conjugacy class sizes of prime power order \(\pi\)-elements.

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Publication:655734
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zbMath1240.20024MaRDI QIDQ655734

Juan-Miguel Gracia

Publication date: 27 January 2012

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)


zbMATH Keywords

conjugacy classesHall \(\pi\)-subgroupsprime power order elements


Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60)


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The sub-class sizes of some elements being square free ⋮ On the p -regular G-conjugacy classes with sizes 1 or minimal ⋮ On products of groups and indices not divisible by a given prime ⋮ On the normal subgroup with minimal \(G\)-conjugacy class sizes ⋮ The influence of conjugacy class sizes on the structure of finite groups ⋮ On the centralizers of the \(p\)-regular elements in a finite group ⋮ Products of groups and class sizes of \(\pi \)-elements




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