Journal of Siberian Federal University. Mathematics & Physics / Subgroups of the Additive Group of a Field that are Closed under Taking the Multiplicative Inverse

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Senko, Vladislav A.
Contact information
Senko, Vladislav A. : Siberian Federal University (Krasnoyarsk, Russian Federation);
Keywords
imperfect field; subgroup of the additive group of the field; linear space
Abstract

In the work of Ya. N. Nuzhin (Siberian Mathematical Journal, 2013), when describing groups lying between Chevalley groups over imperfect fields of characteristic 2, additive subgroups of the basic coefficient field K naturally appeared that contain unity 1 and with each of their nonzero elements its inverse with respect to the multiplication operation. This note provides a description of such subgroups

Pages
767–770
EDN
LGGXVL
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/160128