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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1031–1051 (Mi smj909)  

This article is cited in 5 scientific papers (total in 5 papers)

On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2

M. A. Gazdanova, J. N. Nuzhin

Krasnoyarsk State Technical University
Full-text PDF (292 kB) Citations (5)
References:
Abstract: A group $G$ is called strongly real if its every nonidentity element is strongly real, i.e. conjugate with its inverse by an involution of $G$. We address the classical Lie-type groups of rank $l$, with $l\leqslant4$ and $l\geqslant13$, over an arbitrary field, and the exceptional Lie-type groups over a field $K$ with an element $\eta$ such that the polynomial $X^2+X+\eta$ is irreducible either in $K[X]$ or $K_0[X]$ (in particular, if $K$ is a finite field). The following question is answered for the groups under study: What unipotent subgroups of the Lie-type groups over a field of characteristic 2 are strongly real?
Keywords: Lie-type group, unipotent subgroup, regular unipotent element, strongly real element, commutativity graph.
Received: 11.10.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 5, Pages 844–861
DOI: https://doi.org/10.1007/s11202-006-0093-7
Bibliographic databases:
UDC: 512.542, 512.544.6
Language: Russian
Citation: M. A. Gazdanova, J. N. Nuzhin, “On strong reality of the unipotent Lie-type subgroups over a field of characteristic 2”, Sibirsk. Mat. Zh., 47:5 (2006), 1031–1051; Siberian Math. J., 47:5 (2006), 844–861
Citation in format AMSBIB
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\paper On strong reality of the unipotent Lie-type subgroups over a field of characteristic~2
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\issue 5
\pages 1031--1051
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\jour Siberian Math. J.
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\pages 844--861
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Сибирский математический журнал Siberian Mathematical Journal
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