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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 2, Pages 340–356
(Mi smj1844)
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This article is cited in 5 scientific papers (total 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.
Received: 14.06.2006
Citation:
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., 49:2 (2008), 340–356; Siberian Math. J., 49:2 (2008), 273–286
Linking options:
https://www.mathnet.ru/eng/smj1844 https://www.mathnet.ru/eng/smj/v49/i2/p340
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