Abstract
We describe groups lying between Steinberg groups of type 2 A l , 2 D l , 2 E 6, or 3 D 4 over different fields of characteristics 2 and 3 in the case where the larger field is an algebraic extension of the smaller nonperfect field.
Similar content being viewed by others
References
Ya. N. Nuzhin, “Groups contained between groups of Lie type over various fields,” Algebra Logika 22(5), 526–541 (1983).
R. Steinberg, Lectures on Chevalley Groups (Yale Univ., New Haven, 1968; Mir, Moscow, 1975).
Ya. N. Nuzhin, “Intermediate subgroups in the Chevalley groups of type B l, C l, F 4, and G 2 over the nonperfect fields of characteristic 2 and 3,” Sib. Math. J. 54(1), 119–123 (2013).
V. M. Levchuk, “Parabolic subgroups of certain ABA-groups,” Math. Notes 31(3), 259–267 (1982).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © Ya.N. Nuzhin, 2013, published in Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Vol. 19, No. 3.
Rights and permissions
About this article
Cite this article
Nuzhin, Y.N. Groups lying between steinberg groups over nonperfect fields of characteristics 2 and 3. Proc. Steklov Inst. Math. 285 (Suppl 1), 146–152 (2014). https://doi.org/10.1134/S0081543814050162
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0081543814050162