BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS

DOI10.1142/S1793042107001085zbMath1160.20018OpenAlexW2051069836MaRDI QIDQ3519924

Shalom Eliahou, Michel A. Kervaire

Publication date: 19 August 2008

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

Full work available at URL: https://doi.org/10.1142/s1793042107001085

zbMATH Keywords

finite solvable groupsCauchy-Davenport theoremfinite non-Abelian groupssumset sizesclosed formulaesums of finite subsets in groups

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Other combinatorial number theory (11B75) Additive bases, including sumsets (11B13)

Related Items (3)

Minimum product sets sizes in nonabelian groups. ⋮ Minimal sumsets in finite solvable groups. ⋮ Some extensions of the Cauchy-Davenport theorem

Cites Work

• Unnamed Item
• Minimal sumsets in infinite Abelian groups.
• On the sum of two sets in a group
• 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.

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