Square-free class sizes in products of groups

DOI10.1016/j.jalgebra.2017.08.007zbMath1447.20010arXiv1703.08363OpenAlexW2627057320MaRDI QIDQ2404942

María José Felipe, V. M. Ortiz-Sotomayor, Ana Martínez-Pastor

Publication date: 21 September 2017

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

Full work available at URL: https://arxiv.org/abs/1703.08363

zbMATH Keywords

conjugacy classfinite groupsoluble groupproduct of subgroupsconjugacy class size

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Products of subgroups of abstract finite groups (20D40)

Related Items (7)

The sub-class sizes of some elements being square free ⋮ Lengths of conjugacy classes of π-elements and primary elements in finite groups ⋮ Prime power indices in factorised groups ⋮ On products of groups and indices not divisible by a given prime ⋮ Zeros of irreducible characters in factorised groups ⋮ On the structure of a mutually permutable product of finite groups ⋮ On finite groups with square-free conjugacy class sizes

Uses Software

• GAP

Cites Work

• Unnamed Item
• Products of finite groups.
• On the length of the conjugacy classes of finite groups
• Finite soluble groups
• Notes on the length of conjugacy classes of finite groups.
• Mutually permutable products and conjugacy classes.
• Group classes and mutually permutable products.
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• Subgroups generated by small classes in finite groups
• Remarks on the length of conjugacy classes of finite groups
• ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS
• Endliche Gruppen I

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