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Mathematical logic, algebra and number theory
On maximum orders of elements of simple orthogonal groups in characteristic 2
M. A. Grechkoseevaab, D. V. Lytkina a Novosibirsk State University, ul. Pirogova, 1, 630090, Novosibirsk, Russia
b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
Abstract:
We give exact formulas for the two largest orders of elements of the simple orthogonal group $\Omega_{2n}^\varepsilon(q)$, where $\varepsilon\in\{+,-\}$ and $q>2$ is even.
Keywords:
maximum order of an element, simple orthogonal group.
Received October 27, 2016, published April 28, 2017
Citation:
M. A. Grechkoseeva, D. V. Lytkin, “On maximum orders of elements of simple orthogonal groups in characteristic 2”, Sib. Èlektron. Mat. Izv., 14 (2017), 405–417
Linking options:
https://www.mathnet.ru/eng/semr792 https://www.mathnet.ru/eng/semr/v14/p405
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