Cloning systems and action operads
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911269124046848 |
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| author | Aramayona, Javier Morán, Federico Cantero Carmona, Víctor Gutiérrez, Javier J. |
| author_facet | Aramayona, Javier Morán, Federico Cantero Carmona, Víctor Gutiérrez, Javier J. |
| contents | Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky. In this paper, we prove that action operads are equivalent to cloning systems that admit a certain extra structure, and which we call bilateral cloning systems. In addition, we describe their relation with crossed interval groups and product categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_09873 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Cloning systems and action operads Aramayona, Javier Morán, Federico Cantero Carmona, Víctor Gutiérrez, Javier J. Group Theory Algebraic Topology 20F65, 57M07, 18M65 Action operads and cloning systems are, respectively, the main ingredients in two approaches for axiomatically constructing Thompson-like groups due to Thumann and Witzel-Zaremsky. In this paper, we prove that action operads are equivalent to cloning systems that admit a certain extra structure, and which we call bilateral cloning systems. In addition, we describe their relation with crossed interval groups and product categories. |
| title | Cloning systems and action operads |
| topic | Group Theory Algebraic Topology 20F65, 57M07, 18M65 |
| url | https://arxiv.org/abs/2303.09873 |