Minimum product set sizes in nonabelian groups of order \(pq\).

DOI10.1016/j.jnt.2009.02.006zbMath1165.20019OpenAlexW2029269659MaRDI QIDQ1019827

Alan Deckelbaum

Publication date: 28 May 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.02.006

zbMATH Keywords

Cauchy-Davenport theoremproduct setsadditive number theoryfinite nonabelian groups

Mathematics Subject Classification ID

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

Related Items (1)

Minimum product sets sizes in nonabelian groups.

Cites Work

• Unnamed Item
• Minimal sumsets in infinite Abelian groups.
• Some results on minimal sumset sizes in finite non-Abelian groups.
• Sumsets in vector spaces over finite fields
• A generalisation to noncommutative groups of a theorem of Mann
• Optimally small sumsets in finite abelian groups.
• Sumsets in dihedral groups.
• The Critical Pairs of Subsets of a Group of Prime Order
• Some extensions of the Cauchy-Davenport theorem
• On the Addition of Residue Classes

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