Commuting probability for approximate subgroups of a finite group
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909175789912064 |
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| author | Detomi, Eloisa Morigi, Marta Shumyatsky, Pavel |
| author_facet | Detomi, Eloisa Morigi, Marta Shumyatsky, Pavel |
| contents | For subsets X,Y of a finite group G, we write Pr(X,Y) for the probability that two random elements x in X and y in Y commute. This paper addresses the relation between the structure of an approximate subgroup A of G and the probabilities Pr(A,G) and Pr(A,A). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_12891 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Commuting probability for approximate subgroups of a finite group Detomi, Eloisa Morigi, Marta Shumyatsky, Pavel Group Theory Combinatorics For subsets X,Y of a finite group G, we write Pr(X,Y) for the probability that two random elements x in X and y in Y commute. This paper addresses the relation between the structure of an approximate subgroup A of G and the probabilities Pr(A,G) and Pr(A,A). |
| title | Commuting probability for approximate subgroups of a finite group |
| topic | Group Theory Combinatorics |
| url | https://arxiv.org/abs/2404.12891 |