On Finite Groups in Which Cyclic Subgroups of the Same Order are Conjugate

DOI10.1080/00927870902828835zbMath1191.20011OpenAlexW2149744298MaRDI QIDQ3653333

Enrico Jabara, Mauro Costantini

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902828835

zbMATH Keywords

conjugacy classesfinite groupscyclic subgroups

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Series and lattices of subgroups (20D30) Finite simple groups and their classification (20D05)

Related Items (2)

Lifting \(N_\infty\) operads from conjugacy data ⋮ On finite solvable groups whose cyclic \(p\)-subgroups of equal order are conjugate.

Cites Work

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• On finite groups all of whose elements of the same order are conjugate in their automorphism groups
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• A note on \(2\)-automorphic \(2\)-groups
• Finite groups in which every pair of elements of the same order is either conjugate or inverse-conjugate
• The finite simple groups with at most two fusion classes of every order
• Finite groups in which any two elements of the same order are either fused or inverse-fused
• Isomorphic subgroups
• The order of a group of even order
• Endliche Gruppen I

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