Additive group theory—A progress report

DOI10.1090/S0002-9904-1973-13341-5zbMath0278.20031OpenAlexW2084729356MaRDI QIDQ4405349

Henry B. Mann

Publication date: 1974

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13341-5

Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Periodic groups; locally finite groups (20F50) Topological and differentiable algebraic systems (22A99)

Related Items (12)

An addition theorem for the elementary abelian group of type (p,p) ⋮ Arithmetic characterization of algebraic number fields with class group given ⋮ On group violations of inequalities in five subgroups ⋮ Zero-sum problems in finite Abelian groups: a survey ⋮ On zero sum subsequences of restricted size ⋮ Addition theorems in elementary Abelian groups, I ⋮ Diophantine problems in variables restricted to the values 0 and 1 ⋮ On complete subsets of the cyclic group ⋮ Interplay between four conjectures on certain zero-sum problems. ⋮ A distributed computing perspective of unconditionally secure information transmission in Russian cards problems ⋮ A distributed computing perspective of unconditionally secure information transmission in Russian cards problems ⋮ An uncertainty inequality and zero subsums

Cites Work

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• Summenmengen in lokalkompakten abelschen Gruppen
• On small sumsets in an abelian group
• An addition theorem for Abelian groups of order \(pq\)
• Sums of sets in the Abelian group of type (5,5)
• A combinatorial problem on finite Abelian groups. II
• A combinatorial problem on finite Abelian groups. I
• Abschätzung der asymptotischen Dichte von Summenmengen
• Ein Satz über abelsche Gruppen mit Anwendungen auf die Geometrie der Zahlen
• The Critical Pairs of Subsets of a Group of Prime Order
• On the Addition of Residue Classes
• On products of sets in a locally compact group
• Maximal Sum-Free Sets of Group Elements
• Sums of sets in the elementary abelian group of type (p, p)
• An addition theorem modulo p
• Two addition theorems
• Maximal sum-free sets in finite abelian groups
• Maximal sum-free sets in finite abelian groups, II
• On a Theorem of Mann
• A Historical Note
• On Products of Sets of Group Elements
• An addition theorem of Abelian groups for sets of elements

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