Results 1 to 10 of about 282 (118)
Conjugacy Class Sizes in Affine Semi-linear Groups [PDF]
Advances in Group Theory and Applications, 2020 The aim of this work is to study the structure and sizes of conjugacy classes in certain affine semi-linear groups. This provides a wealth of finite groups of small conjugate rank that are solvable and non-nilpotent.
Hossein Shahrtash
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On p-regular G-conjugacy class sizes [PDF]
Journal of Inequalities and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xianhe Zhao +2 more
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Conjugacy class sizes and solvability of finite groups
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Changguo Shao +2 more
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A note on two Camina’s theorems on conjugacy class sizes
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2010 The following variation of earlier results by Camina is proved: Let \(G\) be a finite group which has a 2-element of index (= the index of its centralizer in \(G\)) \(2^a\), where \(2^a\) is the maximal power of 2 which divides the index of any \(\{2,q\}\)-element of \(G\), where \(q\) is an arbitrary odd prime dividing \(|G|\).
Qingjun Kong, Kong Qingjun
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Finite groups with three conjugacy class sizes of some elements
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qingjun Kong, Kong Qingjun
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Restrictions on sets of conjugacy class sizes in arithmetic progressions [PDF]
International Journal of Group Theory, 2023 We continue the investigation, that began in [M. Bianchi, A. Gillio and P. P. Pálfy, A note on finite groups in which the conjugacy class sizes form an arithmetic progression, Ischia group theory 2010, World Sci. Publ., Hackensack, NJ (2012) 20--25.] and
Alan R. Camina, Rachel D. Camina
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Rational Class Sizes and Their Implications for the Structure of Finite Groups [PDF]
Advances in Group Theory and Applications, 2022 This paper considers the implications of rational class sizes for the structure of finite groups. Ever since Itô introduced the notion of a conjugate type vector in 1953, the problem of unraveling the connections between the set of conjugacy class sizes ...
Hossein Shahrtash
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COPRIME CONJUGACY CLASS SIZES [PDF]
Asian-European Journal of Mathematics, 2009 We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Camina, A. R., Camina, R. D.
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One-prime power hypothesis for conjugacy class sizes [PDF]
International Journal of Group Theory, 2017 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
Alan Camina, Rachel Camina
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On finite groups with square-free conjugacy class sizes [PDF]
International Journal of Group Theory, 2018 We report on finite groups having square-free conjugacy class sizes, in particular in the framework of factorised groups.
Maria-Jose Felipe +2 more
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