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arXiv · 1109.4882

v1-Periodic 2-exponents of SU(2^e) and SU(2^e + 1)

Donald M. Davis
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Abstract

We determine precisely the largest v1-periodic homotopy groups of SU(2^e) and SU(2^e + 1). This gives new results about the largest actual homotopy groups of these spaces. Our proof relies on results about 2-divisibility of restricted sums of binomial coefficients times powers proved by the author in a companion paper.

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Donald M. Davis. 2011-09-22. v1-Periodic 2-exponents of SU(2^e) and SU(2^e + 1). https://arxiv.org/abs/1109.4882

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