Order evaluation of products of subsets in finite groups and its applications. II

DOI10.1090/S0002-9947-97-01866-7zbMath0895.20022OpenAlexW1598295920MaRDI QIDQ4372605

Zvi Arad, Mikhail E. Muzychuk

Publication date: 16 December 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-97-01866-7

zbMATH Keywords

finite groupsfinite simple groupscovering numbersnormal subsetsproducts of conjugacy classesminimal cardinality

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Finite simple groups and their classification (20D05)

Related Items

On powers of conjugacy classes in finite groups ⋮ Some additive applications of the isoperimetric approach ⋮ A structure theorem for small sumsets in nonabelian groups ⋮ An Arad and Fisman's theorem on products of conjugacy classes revisited

Cites Work

• On table algebras and applications to finite group theory
• Squares of characters with few irreducible constituents in finite groups
• Order evaluation of products of subsets in finite groups and its applications. I
• The primitive permutation groups of degree less than 1000
• Finite Groups which Contain a Selfcentralizing Subgroup of Order 3
• On finite linear groups

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