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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Subgroups of compact Lie groups containing a maximal torus are closed
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by Dragomir Ž. Djoković PDF
Proc. Amer. Math. Soc. 83 (1981), 431-432 Request permission

Abstract:

We prove the claim made in the title. As a corollary, we obtain that a compact Lie group $G$ has only finitely many subgroups containing a fixed maximal torus. The special case $G = U(n)$ was dealt with in a recent paper of Borevich and Krupeckiĭ.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 83 (1981), 431-432
  • MSC: Primary 22E15; Secondary 20G20
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0624947-4
  • MathSciNet review: 624947