On finite solvable groups whose cyclic \(p\)-subgroups of equal order are conjugate.

DOI10.1016/J.JALGEBRA.2014.06.014zbMath1307.20016OpenAlexW2022921895MaRDI QIDQ404184

Sezgin Sezer

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2014.06.014

zbMATH Keywords

finite solvable groupspermutation groupstransitive groupslinear groupscyclic \(p\)-subgroups

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) Special subgroups (Frattini, Fitting, etc.) (20D25)

Related Items (1)

On finite nonsolvable groups whose cyclic $p$-subgroups of equal order are conjugate

Cites Work

• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
• Corrigendum to: ``The classification of the finite groups whose subgroups of equal order are conjugate.
• The Sylow 2-subgroups of finite, soluble groups with a single class of involutions
• Finite groups in which any two primary subgroups of the same order are conjugate
• Splitting Properties of Soluble Groups
• On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate
• Endliche Gruppen I
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