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References
P. Baum and W. Browder,The Cohomology of Quotients of Classical Groups, Topology.3, 305–336 (1964–65).
M. J. Hopkins,Nilpotence and finite H-spaces, Israel J. Math.66, 238–246 (1989).
Kane,Homology of Hopf spaces, North Holland Math. Library, vol. 40, Amsterdam, North Holland, 1988.
M. Mimura,Homotopy theory of Lie groups, in “Handbook of algebraic topology”, (ed. I. M. James), Amsterdam, Elsevier, 1995.
G. J. Porter, Homotopy nilpotency ofS 3, Proc. Amer. Math. Soc.15, 681–682 (1964).
V. K. Rao,The Hopf algebra structure of MU* (ΩSO(n)), Indiana Univ. J. Math.38, 277–291 (1989).
——,The bar spectral sequence converging to h*SO(2n+1), Manuscripta Math.65, 47–61 (1989).
——,On the Morava K-theories of SO(2n+1), Proc. Amer. Math. Soc.108, 1031–1038 (1990).
——,Spin(n) is not homotopy nilpotent for n ≥ 7, Topology.32, 239–249 (1993).
--,The algebra structure of K(l)*SO(2l+1−1), Submitted toManuscripta Math.
D. Ravenal and Wilson,Morava K-theories of Eilenberg-McLane spaces and the Conner-Floyd conjecture, American Jour. Math.102, 691–748 (1980).
N. Yagita,Homotopy nilpotency for simply connected Lie groups, Bull. London Math. Soc.25, 481–486 (1993).
A. Zabrodsky,Hopf spaces, North Holland Math. Studies 22, Amsterdam, North Holland, 1976.
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Rao, V.K. Homotopy nilpotent lie groups have no torsion in homology. Manuscripta Math 92, 455–462 (1997). https://doi.org/10.1007/BF02678205
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DOI: https://doi.org/10.1007/BF02678205