ON VANISHING CRITERIA THAT CONTROL FINITE GROUP STRUCTURE II

DOI10.1017/S0004972718000540zbMath1499.20035arXiv1702.03179OpenAlexW2963260423WikidataQ129478157 ScholiaQ129478157MaRDI QIDQ4684264

Qingjun Kong, Julian M. A. Brough

Publication date: 27 September 2018

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

Full work available at URL: https://arxiv.org/abs/1702.03179

zbMATH Keywords

soluble groupssupersoluble groupsvanishing conjugacy classes

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08) Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Simple groups: alternating groups and groups of Lie type (20D06)

Related Items (4)

On zeros of irreducible characters lying in a normal subgroup ⋮ SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES ⋮ Zeros of irreducible characters in factorised groups ⋮ A note on class sizes of vanishing elements in finite groups

Cites Work

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• On vanishing criteria that control finite group structure
• Groups whose vanishing class sizes are not divisible by a given prime.
• On vanishing class sizes in finite groups
• Notes on the length of conjugacy classes of finite groups.
• Finite groups with exactly two class lengths of elements of prime power order
• On the orders of zeros of irreducible characters.
• Character degree graphs that are complete graphs
• On the vanishing prime graph of finite groups
• Defect zero blocks for finite simple groups
• Non-vanishing elements in finite groups.

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