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Zapiski Nauchnykh Seminarov POMI, 2015, Volume 435, Pages 168–177
(Mi znsl6156)
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This article is cited in 4 scientific papers (total in 4 papers)
Width of extraspecial unipotent radical with respect to root elements
I. M. Pevzner Herzen State Pedagogical University of Russia, St. Petersburg, Russia
Abstract:
Let $G=G(\Phi,K)$ be a Chevalley group of type $Ф$ over a field $K$, where $\Phi$ is a simply-laced root system. We study the extraspecial unipotent radical of $G$ and prove that any its element is a product of not more than three root elements. Moreover, we prove that any element of the radical is, possibly after a conjugation by an element of the Levi subgroup, a product of six elementary root elements.
Key words and phrases:
Сhevalley groups, extraspecial unipotent radical, width of group, root elements.
Received: 01.10.2015
Citation:
I. M. Pevzner, “Width of extraspecial unipotent radical with respect to root elements”, Problems in the theory of representations of algebras and groups. Part 28, Zap. Nauchn. Sem. POMI, 435, POMI, St. Petersburg, 2015, 168–177; J. Math. Sci. (N. Y.), 219:4 (2016), 598–603
Linking options:
https://www.mathnet.ru/eng/znsl6156 https://www.mathnet.ru/eng/znsl/v435/p168
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Abstract page: | 222 | Full-text PDF : | 45 | References: | 58 |
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