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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2016 Volume 22, Number 3, Pages 188–191 (Mi timm1334)

Overgroups of unipotent subgroups of groups of Lie type over fields

Ya. N. Nuzhin

Siberian Federal University, Krasnoyarsk

Abstract: We describe the subgroups of a group of Lie type over a field containing its maximal unipotent subgroup. The results are similar to the description of parabolic subgroups of groups with $(B,N)$-pair given by J.Tits.

Keywords: group of Lie type over a field, unipotent subgroup, parabolic subgroup.

UDC: 512.5

MSC: 20G15

Received: 22.01.2016

DOI: 10.21538/0134-4889-2016-22-3-188-191



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