M. A. Grechkoseeva, D. V. Lytkin, “On maximum orders of elements of simple orthogonal groups in characteristic 2”, Sib. Èlektron. Mat. Izv., 2017, Volume 14,Pages <nobr>405

Mathematical logic, algebra and number theory

On maximum orders of elements of simple orthogonal groups in characteristic 2

M. A. Grechkoseeva^ab, D. V. Lytkin^a

^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.

UDC: 512.5

MSC: 20D06

Received October 27, 2016, published April 28, 2017

Language: English

DOI: 10.17377/semi.2017.14.034