Ukrainian Mathematical Journal

, Volume 42, Issue 2, pp 145–148 | Cite as

Compact elements and Cartan subgroups of connected Lie groups

  • M. I. Kabenyuk
Article
  • 29 Downloads

Abstract

It is established that the number of compact Cartan subgroups of a connected Lie group is determined by the topological size of the set of its compact elements. This fact clarifies the structure of those connected Lie groups in which the set indicated is everywhere dense.

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Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • M. I. Kabenyuk
    • 1
  1. 1.Kemerovo UniversityUSSR

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