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Bibliography

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E. Cartan, La géometrie des groupes simples, Ann. Mat. Pura Appl. 4 (1927), 209-256. MR 1553103

[2]

M. Goto, A theorem on compact semi-simple groups, J. Math. Soc. Japan 1 (1948), 270-273. MR 0033829 (11:497d)

[3]

K. Shoda, Einige Satze über Matrizen, Japan J. Math. 13 (1937, 361-365).

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R. C. Thompson, Commutators of matrices. III, Abstracts 565--16, Notices Amer. Math. Soc. 7 (1960), 194.

[5]

B. Kostant, The principal 3-dimensional subgroup and the Betti numbers of a complex simple Lie group, Amer. J. Math. 81 (1959), 973-1032. MR 0114875 (22:5693)