Subgroups which are the union of three conjugate classes

DOI10.1006/jabr.1998.7441zbMath0913.20014OpenAlexW2038248606MaRDI QIDQ1270114

M. A. Shahabi, Mohammad Shahryari

Publication date: 8 June 1999

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1998.7441

zbMATH Keywords

conjugacy classesfinite groupsautomorphism orbits

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Automorphisms of abstract finite groups (20D45)

Related Items (18)

FINITE GROUPS WITH FIVE NON-CENTRAL CONJUGACY CLASSES ⋮ On finite groups whose every proper normal subgroup is a union of a given number of conjugacy classes. ⋮ Unnamed Item ⋮ Finite groups with at most six vanishing conjugacy classes ⋮ On the automorphism group of a Suzuki \(p\)-algebra. ⋮ On the normal subgroup with coprime \(G\)-conjugacy class sizes ⋮ Solvable groups with four conjugacy classes outside a normal subgroup ⋮ \(X\)-decomposable finite groups for \(X=\{1, m,m + 1, m + 2\}\) ⋮ Triangles in the graph of conjugacy classes of normal subgroups ⋮ On the normal subgroup with minimal \(G\)-conjugacy class sizes ⋮ SUBGROUPS WHICH ARE THE UNION OF FOUR CONJUGACY CLASSES ⋮ On finite \(X\)-decomposable groups for \(X=\{1,2,4\}\). ⋮ THE NUMBER OF CONJUGACY CLASSES CONTAINED IN NORMAL SUBGROUPS OF SOLVABLE GROUPS ⋮ Conjugacy classes contained in normal subgroups: an overview ⋮ Conjugacy Classes Outside a Normal Subgroup ⋮ On coprime \(G\)-conjugacy class sizes in a normal subgroup. ⋮ On the normal subgroup with exactly two \(G\)-conjugacy class sizes. ⋮ On \(p\)-regular \(G\)-conjugacy class sizes.

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