An addition theorem for the elementary abelian group of type (p,p)

DOI10.1007/BF01304301zbMath0597.10049OpenAlexW1967205540MaRDI QIDQ1078603

Ying Fou Wou, Henry B. Mann

Publication date: 1986

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178306

zbMATH Keywords

Cauchy-Davenport theoremVosper theoremadditive group theorysums of sets of elements of a group

Mathematics Subject Classification ID

Finite fields and commutative rings (number-theoretic aspects) (11T99) Additive bases, including sumsets (11B13) Additive number theory; partitions (11P99)

Related Items (5)

The critical number of finite abelian groups ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ On weighted modulo orientation of graphs ⋮ Structure of large incomplete sets in abelian groups ⋮ An addition theorem and maximal zero-sum free sets in \(\mathbb{Z}/p\mathbb{Z}\)

Cites Work

• An addition theorem for Abelian groups of order \(pq\)
• Sums of sets in the Abelian group of type (5,5)
• Additive group theory—A progress report
• Sums of sets in the elementary abelian group of type (p, p)
• An addition theorem modulo p
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