Twisted conjugacy classes in Chevalley groups
| Autor: | Nasybullov, T. R. |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove that Chevalley group over the field $F$ of zero characteristic possess $R_{\infty}$ property, if $F$ has torsion group of automorphisms or $F$ is an algebraically closed field which has finite transcendence degree over $\mathbb{Q}$. As a consequence we obtain that the twisted conjugacy class $[e]_{\varphi}$ of unit element is a subgroup of Chevalley group if and only if $\varphi$ is central automorphism. Comment: 24 pages, 2 figures |
| Databáze: | arXiv |
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