Rewriting Group Products with Transversals
| Autor: | Zapata, Gabriel |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | For any group $G$ with subgroup $H$ and a set of representatives $T$ from the set of cosets $G/H$, we develop a rewriting system from $G$ that bequeaths a product into the set decomposition $T\times H$ of $G$, converting it into a group. In return the rewriting system also describes any product between elements in $G$ in terms of elements from $T$ and $H$, while we gain a new universal group-isomorphism between $G$ and $T\times H$. From this framework, we develop the theory of Diffracted Groups. Comment: 10 pages, perpetual non-exclusive |
| Databáze: | arXiv |
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