Minimal sumsets in finite solvable groups.

DOI10.1016/j.disc.2009.03.024zbMath1196.20030OpenAlexW1976998193MaRDI QIDQ960955

Shalom Eliahou, Michel A. Kervaire

Publication date: 29 March 2010

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2009.03.024

zbMATH Keywords

Cauchy-Davenport theoremsumsetslower boundsproduct setsadditive number theoryfinite dihedral groupssumset sizes

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) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (3)

Exhaustion 2-subsets in dihedral groups of order 2p ⋮ Minimum product sets sizes in nonabelian groups. ⋮ Growth in Infinite Groups of Infinite Subsets

Cites Work

• Unnamed Item
• Minimal sumsets in infinite Abelian groups.
• The small sumsets property for solvable finite groups
• Some results on minimal sumset sizes in finite non-Abelian groups.
• Sumsets in vector spaces over finite fields
• Sums in the grid
• Optimally small sumsets in finite abelian groups.
• Sumsets in dihedral groups.
• BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS

This page was built for publication: Minimal sumsets in finite solvable groups.