Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Birth date:
07.12.1958
E-mail: Website: https://www.csu.ru/Lists/List4/sotrudnik.aspx?ID=375 Keywords: finite simple group; group of Lie type; parabolic representation; permutation representation; rank of representation; parabolic maximal subgroup.
Subject:
For all finite simple exceptional groups of Lie type the ranks, degrees, subdegrees, and double stabilizers of primitive parabolic permutation representations are calculated. In last paper we study classical groups of Lie type $A_l(q)$. We calculate the ranks of the permutation representations on the cosets of parabolic maximal subgroups for $A_l(q)$.
Main publications:
Korableva V. V. Ranks of the primitive parabolic permutation representations of classical groups of Lie type $A_l(q)$ // Proc. Steklov Inst. Math., suppl. 2, 2001, 150–155, (transl. from Trudy Inst. Matem. i Mekh. Uro RAN, 2001, 8(1)).