SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES

DOI10.1017/s000497272200065xzbMath1521.20033OpenAlexW4285086093MaRDI QIDQ6176142

Ramón Esteban-Romero, M. Carmen Pedraza-Aguilera, Adolfo Ballester-Bolinches, Sesuai Yash Madanha

Publication date: 25 July 2023

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497272200065x

zbMATH Keywords

mutually permutable productssupersoluble groupsvanishing elementvanishing conjugacy class sizes

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Ordinary representations and characters (20C15) 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)

Cites Work

• On vanishing criteria that control finite group structure
• Products of finite groups.
• Notes on non-vanishing elements of finite solvable groups.
• Zeros of irreducible characters in factorised groups
• Finite soluble groups
• On vanishing class sizes in finite groups
• Finite groups with exactly two class lengths of elements of prime power order
• Remarks on the length of conjugacy classes of finite groups
• ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II
• A note on class sizes of vanishing elements in finite groups

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