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The index of certain Stiefel manifolds
Published 3 Mar 2021 in math.AT and math.MG | (2103.02500v2)
Abstract: This paper computes the Fadell-Husseini index of Stiefel manifolds in the case where the group acts via permutations of the orthogonal vectors. The computations are carried out in the case of elementary Abelian $p$-groups. The results are shown to imply certain generalizations of the Kakutani-Yamabe-Yujobo theorem.
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