On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\).

DOI10.1134/S0037446612020255zbMath1257.20031OpenAlexW1968573309MaRDI QIDQ1760518

Xianqiang Yang

Publication date: 14 November 2012

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

Full work available at URL: https://doi.org/10.1134/s0037446612020255

zbMATH Keywords

numbers of conjugacy classesfinite groupsnormal subgroupsunions of conjugacy classes\(n\)-decomposable groupsnonperfect groups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) General structure theorems for groups (20E34) Generators, relations, and presentations of groups (20F05)

Related Items (2)

On normal graph of a finite group ⋮ \(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\)

Cites Work

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• 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
• On the number of conjugacy classes in a finite group
• Subgroups which are the union of three conjugate classes
• The theory of finite groups. An introduction.
• Subgroups which are the union of two conjugacy classes
• 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.
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• ON DECOMPOSABILITY OF FINITE GROUPS

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