\(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\)

DOI10.1134/S0037446617050172zbMath1400.20013OpenAlexW2766906851MaRDI QIDQ1694718

Ruifang Chen, Xiu Yun Guo, Kar Ping Shum

Publication date: 6 February 2018

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446617050172

zbMATH Keywords

soluble group\(n\)-decomposable\(G\)-conjugacy class

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Free nonabelian groups (20E05)

Uses Software

• GAP

Cites Work

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• On finite \(X\)-decomposable groups for \(X=\{1,2,3,4\}\).
• On the length of the conjugacy classes of finite groups
• On 9- and 10-decomposable finite groups.
• Classification of finite groups according to the number of conjugacy classes. II
• Subgroups which are the union of three conjugate classes
• On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\).
• On finite groups whose every normal subgroup is a union of the same number of conjugacy classes
• On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes.
• Structure of finite groups under certain arithmetical conditions on class sizes.
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• On Conjugacy Class Sizes of the p′-Elements with Prime Power Order
• ON DECOMPOSABILITY OF FINITE GROUPS
• On p-Regular G-Conjugacy Classes and the p-Structure of Normal Subgroups

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