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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2016, Volume 292, Pages 16–25
DOI: https://doi.org/10.1134/S0371968516010027 (Mi tm3699) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Examples of algebraic groups of type $G_2$ having the same maximal tori

C. Belia, P. Gillea, T.-Y. Leeb

a Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania
b École Polytechnique Fédérale de Lausanne, EPFL, Lausanne, Switzerland
Full-text PDF (231 kB) Citations (3)
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DOI: https://doi.org/10.1134/S0371968516010027
Abstract: Answering a question of A. Rapinchuk, we construct examples of non-isomorphic semisimple algebraic groups $H_1$ and $H_2$ of type $G_2$ having coherently equivalent systems of maximal $k$-tori.
Funding agency Grant number
Institute for Innovation and Development, Romania PCE_2012-4-364
C. Beli and P. Gille were supported by the Romanian IDEI project PCE_2012-4-364 of the Ministry of National Education CNCS-UEFISCIDI.
Received: March 31, 2015
English version:
Proceedings of the Steklov Institute of Mathematics, 2016, Volume 292, Pages 10–19
DOI: https://doi.org/10.1134/S0081543816010028
Bibliographic databases:
Document Type: Article
UDC: 512.74
Language: English
Citation: C. Beli, P. Gille, T.-Y. Lee, “Examples of algebraic groups of type $G_2$ having the same maximal tori”, Algebra, geometry, and number theory, Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday, Trudy Mat. Inst. Steklova, 292, MAIK Nauka/Interperiodica, Moscow, 2016, 16–25; Proc. Steklov Inst. Math., 292 (2016), 10–19
Citation in format AMSBIB
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\paper Examples of algebraic groups of type $G_2$ having the same maximal tori
\inbook Algebra, geometry, and number theory
\bookinfo Collected papers. Dedicated to Academician Vladimir Petrovich Platonov on the occasion of his 75th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2016
\vol 292
\pages 16--25
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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\crossref{https://doi.org/10.1134/S0371968516010027}
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    • This publication is cited in the following 3 articles:
    1. A. S. Rapinchuk, I. A. Rapinchuk, “Linear algebraic groups with good reduction”, Res. Math. Sci., 7:3 (2020), 28  crossref  mathscinet  zmath  isi
    2. A. Chapman, A. Dolphin, “Types of linkage of quadratic pfister forms”, J. Number Theory, 199 (2019), 352–362  crossref  mathscinet  zmath  isi  scopus
    3. Chernousov V.I., Rapinchuk A.S., Rapinchuk I.A., “On some finiteness properties of algebraic groups over finitely generated fields”, C. R. Math., 354:9 (2016), 869–873  crossref  mathscinet  zmath  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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    Abstract page:214
    Full-text PDF :53
    References:86
    First page:2
     
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