On finite groups with square-free conjugacy class sizes

DOI10.22108/ijgt.2017.21475zbMath1446.20027OpenAlexW2738416986MaRDI QIDQ5124043

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

Publication date: 17 September 2020

Full work available at URL: https://doaj.org/article/83f0a4e30eec47c390ead84e2085f515

zbMATH Keywords

conjugacy classesfinite groupsfactorised groups

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)

Uses Software

• GAP

Cites Work

• Unnamed Item
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• \(p\)-parts of character degrees and the index of the Fitting subgroup.
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• Finite soluble groups
• Notes on the length of conjugacy classes of finite groups.
• Mutually permutable products and conjugacy classes.
• Square-free class sizes in products of groups
• Coprime action and arithmetical conditions on invariant conjugacy classes.
• Über den Frobenius'schen Klassenbegriff in nilpotenten Gruppen
• THE INFLUENCE OF CONJUGACY CLASS SIZES ON THE STRUCTURE OF FINITE GROUPS: A SURVEY
• p-parts of character degrees
• Implications of conjugacy class size
• Remarks on the length of conjugacy classes of finite groups
• ON CONJUGACY CLASS SIZES AND CHARACTER DEGREES OF FINITE GROUPS
• On the supersolvability of finite groups

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