V. V. Nesterov, “Generation of pairs of short root subgroups in Chevalley groups”, Algebra i Analiz, 16:6 (2004), 172–208; St. Petersburg Math. J., 16:6 (2005), 1051

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Algebra i Analiz, 2004, Volume 16, Issue 6, Pages 172–208 (Mi aa643)

This article is cited in 12 scientific papers (total in 12 papers)

Research Papers

Generation of pairs of short root subgroups in Chevalley groups

V. V. Nesterov

Baltic State Technical University

Full-text PDF (1686 kB) Citations (12)

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Received: 17.03.2004

English version:
St. Petersburg Mathematical Journal, 2005, Volume 16, Issue 6, Pages 1051–1077
DOI: https://doi.org/10.1090/S1061-0022-05-00890-3

Bibliographic databases:

Document Type: Article

Language: Russian

Citation: V. V. Nesterov, “Generation of pairs of short root subgroups in Chevalley groups”, Algebra i Analiz, 16:6 (2004), 172–208; St. Petersburg Math. J., 16:6 (2005), 1051–1077

Citation in format AMSBIB

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\by V.~V.~Nesterov

\paper Generation of pairs of short root subgroups in Chevalley groups

\jour Algebra i Analiz

\yr 2004

\vol 16

\issue 6

\pages 172--208

\mathnet{http://mi.mathnet.ru/aa643}

\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2117453}

\zmath{https://zbmath.org/?q=an:1096.20039}

\transl

\jour St. Petersburg Math. J.

\yr 2005

\vol 16

\issue 6

\pages 1051--1077

\crossref{https://doi.org/10.1090/S1061-0022-05-00890-3}

Linking options:

https://www.mathnet.ru/eng/aa643

https://www.mathnet.ru/eng/aa/v16/i6/p172

This publication is cited in the following 12 articles:

N. Vavilov, V. Nesterov, “Podgruppy, porozhdennye paroi $2$ -torov v $\mathrm{GL}(5,K)$ ”, Voprosy teorii predstavlenii algebr i grupp. 39, Zap. nauchn. sem. POMI, 522, POMI, SPb., 2023, 8–45
V. V. Nesterov, N. A. Vavilov, “Pairs of microweight tori in ${\operatorname{GL}}_n$ ”, Chebyshevskii sb., 21:4 (2020), 152–161
V. Nesterov, “Subsystem subgroups generated by short root subgroups in a group of type $\mathrm{F}_4$ ”, St. Petersburg Math. J., 31:1 (2020), 69–80
V. V. Nesterov, “Reduction theorems for triples of short root subgroups in Chevalley groups”, J. Math. Sci. (N. Y.), 222:4 (2017), 437–452
V. V. Nesterov, “On the normalizer of a unipotent root subgroup in Chevalley group”, J. Math. Sci. (N. Y.), 232:5 (2018), 717–720
Aschbacher M., “Overgroups of root groups in classical groups”, Mem. Am. Math. Soc., 241:1140 (2016), 1+
N. A. Vavilov, A. A. Semenov, “Long root tori in Chevalley groups”, St. Petersburg Math. J., 24:3 (2013), 387–430
I. M. Pevzner, “The geometry of root elements in groups of type $\mathrm E_6$ ”, St. Petersburg Math. J., 23:3 (2012), 603–635
N. A. Vavilov, S. I. Nikolenko, “ $\mathrm A_2$ -proof of structure theorems for Chevalley groups of type $\mathrm F_4$ ”, St. Petersburg Math. J., 20:4 (2009), 527–551
N. A. Vavilov, V. V. Nesterov, “Geometriya mikrovesovykh torov”, Vladikavk. matem. zhurn., 10:1 (2008), 10–23
N. A. Vavilov, I. M. Pevzner, “Triples of long root subgroups”, J. Math. Sci. (N. Y.), 147:5 (2007), 7005–7020
N. Vavilov, “Geometry of 1-tori in $\mathrm{GL}(n,T)$ ”, St. Petersburg Math. J., 19:3 (2008), 407–429

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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