Some results on minimal sumset sizes in finite non-Abelian groups.

DOI10.1016/j.jnt.2006.09.002zbMath1130.20022OpenAlexW2017242648MaRDI QIDQ877935

Shalom Eliahou, Michel A. Kervaire

Publication date: 4 May 2007

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2006.09.002

zbMATH Keywords

Cauchy-Davenport theoremfinite non-Abelian groupssumset sizes

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75)

Related Items (10)

Sumsets in dihedral groups. ⋮ The small sumsets property for solvable finite groups ⋮ Exhaustion 2-subsets in dihedral groups of order 2p ⋮ Sumsets in dicyclic groups Q _{4 n} and U _m,n ⋮ BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS ⋮ Minimum product sets sizes in nonabelian groups. ⋮ Minimal sumsets in finite solvable groups. ⋮ Old and new formulas for the Hopf-Stiefel and related functions ⋮ Minimal sumsets in infinite Abelian groups. ⋮ Minimum product set sizes in nonabelian groups of order \(pq\).

Cites Work

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• Minimal sumsets in infinite Abelian groups.
• On the sum of two sets in a group
• The small sumsets property for solvable finite groups
• Sumsets in vector spaces over finite fields
• Optimally small sumsets in finite abelian groups.
• Sumsets in dihedral groups.
• On the Addition of Residue Classes

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