On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes.

DOI10.1007/BF02830000zbMath1070.20027arXivmath/0503030MaRDI QIDQ1884010

Geetha Venkataraman, Ali Reza Ashrafi

Publication date: 25 October 2004

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0503030

zbMATH Keywords

numbers of conjugacy classesfinite groupsnormal subgroupsunions of conjugacy classes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60)

Related Items

On normal graph of a finite group ⋮ \(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\) ⋮ On 9- and 10-decomposable finite groups. ⋮ On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\).

Uses Software

• GAP

Cites Work

• On 9- and 10-decomposable finite groups.
• Subgroups which are the union of three conjugate classes
• 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
• SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES
• Endliche Gruppen I
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