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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Factorizations of simple algebraic groups
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by Martin W. Liebeck, Jan Saxl and Gary M. Seitz PDF
Trans. Amer. Math. Soc. 348 (1996), 799-822 Request permission

Abstract:

We determine all factorizations of simple algebraic groups as the product of two maximal closed connected subgroups. Additional results are established which drop the maximality assumption, and applications are given to the study of subgroups of classical groups transitive on subspaces of a given dimension.
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Additional Information
  • Martin W. Liebeck
  • Affiliation: Department of Mathematics, Imperial College, London SW7 2BZ, England
  • MR Author ID: 113845
  • ORCID: 0000-0002-3284-9899
  • Email: m.liebeck@ic.ac.uk
  • Jan Saxl
  • Affiliation: Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England
  • Email: j.saxl@pmms.cam.ac.uk
  • Gary M. Seitz
  • Affiliation: Department of Mathematics, University of Oregon, Eugene, Oregon 97403
  • Email: seitz@bright.uoregon.edu
  • Received by editor(s): May 3, 1994
  • Received by editor(s) in revised form: January 30, 1995
  • © Copyright 1996 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 348 (1996), 799-822
  • MSC (1991): Primary 20G15
  • DOI: https://doi.org/10.1090/S0002-9947-96-01447-X
  • MathSciNet review: 1316858