Minimal sumsets in infinite Abelian groups.

DOI10.1016/j.jalgebra.2005.02.014zbMath1095.11012OpenAlexW1978351750MaRDI QIDQ556974

Shalom Eliahou, Michel A. Kervaire

Publication date: 23 June 2005

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.02.014

zbMATH Keywords

Minkowski sumsclosed formula

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Abelian groups (20K99)

Related Items (13)

On Sums of Generating Sets in ℤ₂ⁿ ⋮ The small sumsets property for solvable finite groups ⋮ Sets with few differences in abelian groups ⋮ Some results on minimal sumset sizes in finite non-Abelian groups. ⋮ Sumsets in dicyclic groups Q _{4 n} and U _m,n ⋮ BOUNDS ON THE MINIMAL SUMSET SIZE FUNCTION IN GROUPS ⋮ Minimal sumsets in finite solvable groups. ⋮ A note on the number of different inner products generated by a finite set of vectors ⋮ Old and new formulas for the Hopf-Stiefel and related functions ⋮ On the product of vector spaces in a commutative field extension ⋮ Planar additive bases for rectangles ⋮ Minimum product set sizes in nonabelian groups of order \(pq\). ⋮ Some extensions of the Cauchy-Davenport theorem

Cites Work

• The small sumsets property for solvable finite groups
• Some results on minimal sumset sizes in finite non-Abelian groups.
• On small sumsets in an abelian group
• Optimally small sumsets in finite abelian groups.
• Sumsets in dihedral groups.
• The Critical Pairs of Subsets of a Group of Prime Order
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