Abstract
Let p be an odd prime. For the Stiefel manifold W m+k,k = SU(m + k)/SU(m), we obtain an upper bound of its p-primary homotopy exponent in the stable range k ≤ m with k ≤ (p − 1)2 +1.
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Supported by the NSFC (Grant No. 11261062), the Special Financial Grant form the China Postdoctoral Science Foundation (Grant No. 2015T80909) and Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20134407110001)
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Zhao, H., Zhong, L.N. & Shen, W.H. Homotopy exponents of Stiefel manifolds in the stable range. Acta. Math. Sin.-English Ser. 32, 1080–1088 (2016). https://doi.org/10.1007/s10114-016-5223-y
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DOI: https://doi.org/10.1007/s10114-016-5223-y