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Maximal Tori Theorem


Let T be a maximal torus of a group G, then T intersects every conjugacy class of G, i.e., every element g in G is conjugate to a suitable element in T. The theorem is due to É. Cartan.


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References

Hsiang, W. Y. Lectures on Lie Groups. Singapore: World Scientific, p. 42, 2000.

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Maximal Tori Theorem

Cite this as:

Weisstein, Eric W. "Maximal Tori Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MaximalToriTheorem.html

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