On Sum-Free Subsets of Abelian Groups
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 abelia...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-07-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/12/8/724 |
| _version_ | 1827730408938143744 |
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| author | Renato Cordeiro de Amorim |
| author_facet | Renato Cordeiro de Amorim |
| author_sort | Renato Cordeiro de Amorim |
| collection | DOAJ |
| description | 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 <i>G</i>? 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 <i>G</i> look like? |
| first_indexed | 2024-03-11T00:07:48Z |
| format | Article |
| id | doaj.art-bd5fc565744249ceaf17acaa2259a6f0 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-03-11T00:07:48Z |
| publishDate | 2023-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-bd5fc565744249ceaf17acaa2259a6f02023-11-19T00:14:16ZengMDPI AGAxioms2075-16802023-07-0112872410.3390/axioms12080724On Sum-Free Subsets of Abelian GroupsRenato Cordeiro de Amorim0School of Computer Science and Electronic Engineering, University of Essex, Wivenhoe Park, Colchester CO4 3SQ, UKIn 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 <i>G</i>? 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 <i>G</i> look like?https://www.mdpi.com/2075-1680/12/8/724sum-free subsetsabelian groupscombinatorics |
| spellingShingle | Renato Cordeiro de Amorim On Sum-Free Subsets of Abelian Groups Axioms sum-free subsets abelian groups combinatorics |
| title | On Sum-Free Subsets of Abelian Groups |
| title_full | On Sum-Free Subsets of Abelian Groups |
| title_fullStr | On Sum-Free Subsets of Abelian Groups |
| title_full_unstemmed | On Sum-Free Subsets of Abelian Groups |
| title_short | On Sum-Free Subsets of Abelian Groups |
| title_sort | on sum free subsets of abelian groups |
| topic | sum-free subsets abelian groups combinatorics |
| url | https://www.mdpi.com/2075-1680/12/8/724 |
| work_keys_str_mv | AT renatocordeirodeamorim onsumfreesubsetsofabeliangroups |