Hyper-Atoms Applied to the Critical Pair Theory
| Autor: | Yahya Ould Hamidoune |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Pure mathematics
010102 general mathematics 0102 computer and information sciences Object (computer science) 01 natural sciences Dual (category theory) Combinatorics Critical pair Computational Mathematics 010201 computation theory & mathematics Discrete Mathematics and Combinatorics Coset 0101 mathematics Isoperimetric inequality Structured program theorem Mathematics |
| Zdroj: | Combinatorica. 39:1281-1315 |
| ISSN: | 1439-6912 0209-9683 |
| DOI: | 10.1007/s00493-019-2429-5 |
| Popis: | The isoperimetric method is often useful for proving results regarding sumsets. Here, we introduce the notion of a hyper-atom into the method, which overcomes a previous weakness when dealing with atoms that are cosets. To show the utility of this new object, we give a new isoperimetric proof of the cornerstone of classical critical pair theory: The Kemperman Structure Theorem, proved in its so-called “dual” formulation. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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