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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Subgroups of compact Lie groups containing a maximal torus are closed


Author: Dragomir Ž. Djoković
Journal: Proc. Amer. Math. Soc. 83 (1981), 431-432
MSC: Primary 22E15; Secondary 20G20
MathSciNet review: 624947
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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1981-0624947-4
PII: S 0002-9939(1981)0624947-4
Article copyright: © Copyright 1981 American Mathematical Society