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Sbornik: Mathematics, 2009, Volume 200, Issue 7, Pages 1089–1104
DOI: https://doi.org/10.1070/SM2009v200n07ABEH004029 (Mi sm6368) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Affine algebraic groups with periodic components

S. N. Fedotov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (284 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM2009v200n07ABEH004029
Abstract: A connected component of an affine algebraic group is called periodic if all its elements have finite order. We give a characterization of periodic components in terms of automorphisms with finitely many fixed points. Also discussed is which connected groups have finite extensions with periodic components. The results are applied to the study of the normalizer of a maximal torus in a simple algebraic group.
Bibliography: 10 titles.
Keywords: linear algebraic group, algebraic torus, finite-order element, regular automorphism, Coxeter element.
Received: 23.05.2008 and 13.04.2009
Bibliographic databases:
UDC: 512.743
MSC: Primary 14L17; Secondary 17B40, 17B45, 20G20
Language: English
Original paper language: Russian
Citation: S. N. Fedotov, “Affine algebraic groups with periodic components”, Sb. Math., 200:7 (2009), 1089–1104
Citation in format AMSBIB
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\by S.~N.~Fedotov
\paper Affine algebraic groups with periodic components
\jour Sb. Math.
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\vol 200
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\pages 1089--1104
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  • https://doi.org/10.1070/SM2009v200n07ABEH004029
  • https://www.mathnet.ru/eng/sm/v200/i7/p145
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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