Classification of Finite Groups With Equal Left and Right Quotient Sets
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909855897354240 |
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| author | Mouli, Haran Saldin, Pramana |
| author_facet | Mouli, Haran Saldin, Pramana |
| contents | In this paper, we classify all finite groups $G$ which have the following property: for all subsets $A \subseteq G$, we have $|AA^{-1}| = |A^{-1}A|$. This question is motivated by the problem in additive combinatorics of More Sums Than Difference sets and answers several questions posed in arXiv:2509.00611 [math.NT]. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_04717 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of Finite Groups With Equal Left and Right Quotient Sets Mouli, Haran Saldin, Pramana Group Theory Combinatorics 20E34 (Primary), 11P70 (Secondary) In this paper, we classify all finite groups $G$ which have the following property: for all subsets $A \subseteq G$, we have $|AA^{-1}| = |A^{-1}A|$. This question is motivated by the problem in additive combinatorics of More Sums Than Difference sets and answers several questions posed in arXiv:2509.00611 [math.NT]. |
| title | Classification of Finite Groups With Equal Left and Right Quotient Sets |
| topic | Group Theory Combinatorics 20E34 (Primary), 11P70 (Secondary) |
| url | https://arxiv.org/abs/2509.04717 |