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Matrix Groups pp 182-200 | Cite as

Reflections, Roots

  • Morton L. Curtis
Part of the Universitext book series (UTX)

Abstract

For our matix groups we proved that if G is compact and connected and T is a maximal torus in G, then
  1. (i.)
    $${\text{G}} = \bigcup\limits_{x \in G} {{\text{xT}}{{\text{x}}^{ - 1}}} $$
    (i)
    , and
     
  2. (ii.)

    Any maximal torus in G is some xTx-1

     

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Copyright information

© Springer-Verlag New York Inc. 1984

Authors and Affiliations

  • Morton L. Curtis
    • 1
  1. 1.Department of MathematicsRice University, Weiss School of Natural SciencesHoustonUSA

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