Free products from spinning and rotating families
| Autor: | Bestvina, Mladen, Dickmann, Ryan, Domat, George, Kwak, Sanghoon, Patel, Priyam, Stark, Emily |
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| Rok vydání: | 2020 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The far-reaching work of Dahmani-Guirardel-Osin and recent work of Clay-Mangahas-Margalit provide geometric approaches to the study of the normal closure of a subgroup (or a collection of subgroups)in an ambient group $G$. Their work gives conditions under which the normal closure in $G$ is a free product. In this paper we unify their results and simplify and significantly shorten the proof of the Dahmani-Guirardel-Osin theorem. Comment: 22 pages, 8 figures. Further simplified and shortened main proofs. Also added proofs that elements in the group generated by a spinning/rotating family either act loxodromically or are contained in a point stabilizer \'a la DGO and CMM. Added referee comments. Accepted to l`Enseignement Math\'{e}matique |
| Databáze: | arXiv |
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