v1-Periodic 2-exponents of SU(2e) and SU(2e + 1)
Abstract
We determine precisely the largest v1-periodic homotopy groups of SU(2e) and SU(2e + 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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