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Fundamentalnaya i Prikladnaya Matematika, 2012, Volume 17, Issue 1, Pages 155–168
(Mi fpm1394)
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This article is cited in 2 scientific papers (total in 2 papers)
The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups
V. M. Levchuka, G. S. Suleimanovab a Siberian Federal University, Krasnoyarsk
b Khakas Technical Institute, Siberian Federal University, Abakan
Abstract:
We study the normal structure of the unipotent radical $U$ of a Borel subgroup in a Lie type group over a field $K$. Thus, all maximal Abelian normal subgroups in $U$ are described. This gives a new solution of C. Parker and P. Rowley's problem about extremal subgroups in $U$ and the description in finite groups $U$ of the large normal (and, as proved, also normal large) Abelian subgroups.
Citation:
V. M. Levchuk, G. S. Suleimanova, “The normal structure of the unipotent subgroup in Lie type groups and its extremal subgroups”, Fundam. Prikl. Mat., 17:1 (2012), 155–168; J. Math. Sci., 185:3 (2012), 448–457
Linking options:
https://www.mathnet.ru/eng/fpm1394 https://www.mathnet.ru/eng/fpm/v17/i1/p155
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Statistics & downloads: |
Abstract page: | 504 | Full-text PDF : | 173 | References: | 65 | First page: | 2 |
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