Journal of Siberian Federal University. Mathematics & Physics / Classes of Conjugate Involutions of Symplectic Groups over Fields of Even Order and Related Questions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2008 1 (3)
Authors
Radchenko, Oksana V.
Contact information
Оксана В.Радченко: Институт математики, Сибирский федеральный университет, пр. Свободный 79, Красноярск, 660041, Россия, email:
Keywords
symplectic group; involution
Abstract

We use an analogue of the Suzuki form in PSL(n; q) in order to find representatives of conjugate involution classes of symplectic groups Sp (2n; q) over fields of any even order. Let t be an involution of a group G and ccw(G;t) denote the number of all conjugate and commutative involutions for t. We establish an uppen bound for this number in the case of Sp (2n; q).

Pages
324-329
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/776