V. V. Korableva, “The ranks of primitive parabolic permutation representations of the simple groups $B_l(q)$, $C_l(q)$ and $D_l(q)$”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 2,Pages 340

This article is cited in 5 papers

The ranks of primitive parabolic permutation representations of the simple groups $B_l(q)$, $C_l(q)$ and $D_l(q)$

V. V. Korableva

Chelyabinsk State University

Abstract: We determine the ranks of the permutation representations of the simple groups $B_l(q)$, $C_l(q)$ and $D_l(q)$ on the cosets of the parabolic maximal subgroups.

Keywords: group of Lie type, parabolic subgroup, Weyl group, permutation representation.

UDC: 512.542.5

Received: 14.06.2006