Amorim, Renato (2023) On Sum-Free Subsets of Abelian Groups. Axioms, 12 (8). p. 724. DOI https://doi.org/10.3390/axioms12080724
Amorim, Renato (2023) On Sum-Free Subsets of Abelian Groups. Axioms, 12 (8). p. 724. DOI https://doi.org/10.3390/axioms12080724
Amorim, Renato (2023) On Sum-Free Subsets of Abelian Groups. Axioms, 12 (8). p. 724. DOI https://doi.org/10.3390/axioms12080724
Abstract
In this paper, we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind and is hence not overly technical. We consider answers to questions like the following: How many sum-free subsets are there in a given abelian group G? What are its sum-free subsets of maximum cardinality? What is the maximum cardinality of these sum-free subsets? What does a typical sum-free subset of G look like?
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | sum-free subsets; abelian groups; combinatorics |
| Divisions: | Faculty of Science and Health Faculty of Science and Health > Computer Science and Electronic Engineering, School of |
| SWORD Depositor: | Unnamed user with email elements@essex.ac.uk |
| Depositing User: | Unnamed user with email elements@essex.ac.uk |
| Date Deposited: | 24 Aug 2023 09:41 |
| Last Modified: | 24 Aug 2023 09:41 |
| URI: | http://repository.essex.ac.uk/id/eprint/36058 |
Available files
Filename: axioms-12-00724.pdf
Licence: Creative Commons: Attribution 4.0