An addition theorem for Abelian groups of order \(pq\)

DOI10.1016/0022-314X(75)90006-2zbMath0295.10042MaRDI QIDQ1212969

George T. Diderrich

Publication date: 1975

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

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Finite abelian groups (20K01) Inverse problems of additive number theory, including sumsets (11P70)

Related Items (15)

\(r\)-critical numbers of natural intervals ⋮ An addition theorem for the elementary abelian group of type (p,p) ⋮ Critical numbers of intervals ⋮ The critical number of finite abelian groups ⋮ ON THE CRITICAL NUMBER OF FINITE GROUPS OF ORDER pq ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ Corrigendum to: ``The critical number of finite abelian groups ⋮ On the subset sum problem for finite fields ⋮ On complete subsets of the cyclic group ⋮ Structure of large incomplete sets in abelian groups ⋮ An addition theorem and maximal zero-sum free sets in \(\mathbb{Z}/p\mathbb{Z}\) ⋮ Additive group theory—A progress report ⋮ Critical numbers of natural intervals ⋮ On additive bases of finite groups ⋮ Sums of length t in Abelian groups

Cites Work

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• Representations by \(k\)-th powers in \(GF(q)\)
• On the addition of residue classes mod p
• An addition theorem modulo p

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