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• W2621993816 abstract "Given a positive integer $u$ and a simple algebraic group $G$ defined over an algebraically closed field $K$ of characteristic $p$, we derive properties about the subvariety $G_{[u]}$ of $G$ consisting of elements of $G$ of order dividing $u$. In particular, we determine the dimension of $G_{[u]}$, completing results of Lawther [7] in the special case where $G$ is of adjoint type. We also apply our results to the study of finite simple quotients of triangle groups, giving further insight on a conjecture we proposed in [10] as well as proving that some finite quasisimple groups are not quotients of certain triangle groups." @default.
• W2621993816 created "2017-06-15" @default.
• W2621993816 creator A5089251784 @default.
• W2621993816 date "2017-06-06" @default.
• W2621993816 modified "2023-09-27" @default.
• W2621993816 title "Varieties of elements of given order in simple algebraic groups" @default.
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• W2621993816 hasPublicationYear "2017" @default.
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