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20 April 2024

» arxiv » math.AT/0508083

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A number-theoretic approach to homotopy exponents of SU(n)
Donald M. Davis ; Zhi-Wei Sun ;
Date:	4 Aug 2005
Abstract:	We use methods of combinatorial number theory to prove that, for each n>1 and any prime p, some homotopy group Pi_i(SU(n)) contains an element of order p^{n-1+ord_p([n/p]!)}, where ord_p(m) denotes the largest integer alpha such that p^{alpha} divides m.
Source:	arXiv, math.AT/0508083
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