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

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

2011-09-22

arxiv.org/abs/1109.4882v1

Mathematics

Algebraic Topology

8 pages

Scientific paper

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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