The small sumsets property for solvable finite groups

DOI10.1016/J.EJC.2006.06.004zbMath1099.11008OpenAlexW2041064920MaRDI QIDQ852700

Shalom Eliahou, Michel A. Kervaire

Publication date: 15 November 2006

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2006.06.004

zbMATH Keywords

finite solvable groupsnested small sumsets property

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75)

Related Items (8)

Sumsets in dihedral groups. ⋮ Some results on minimal sumset sizes in finite non-Abelian groups. ⋮ BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS ⋮ Minimum product sets sizes in nonabelian groups. ⋮ Minimal sumsets in finite solvable groups. ⋮ Minimal sumsets in infinite Abelian groups. ⋮ Growth in Infinite Groups of Infinite Subsets ⋮ Some extensions of the Cauchy-Davenport theorem

Cites Work

• Minimal sumsets in infinite Abelian groups.
• Some results on minimal sumset sizes in finite non-Abelian groups.
• Optimally small sumsets in finite abelian groups.
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