Groups generated by pattern avoiding permutations
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
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| _version_ | 1866910513692147712 |
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| author | Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo |
| author_facet | Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo |
| contents | We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the second part we carry out a case-by-case analysis of groups generated by permutations avoiding few short patterns. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_03107 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Groups generated by pattern avoiding permutations Barnabei, Marilena Castronuovo, Niccolò Silimbani, Matteo Combinatorics 05A05, 20B05, 20B10 We study groups generated by sets of pattern avoiding permutations. In the first part of the paper we prove some general results concerning the structure of such groups. In the second part we carry out a case-by-case analysis of groups generated by permutations avoiding few short patterns. |
| title | Groups generated by pattern avoiding permutations |
| topic | Combinatorics 05A05, 20B05, 20B10 |
| url | https://arxiv.org/abs/2402.03107 |