$v_1$-Periodic Homotopy Groups of $SO(n)$

Martin Bendersky · Donald M. Davis

xan. de 2004 · American Mathematical Soc.

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Computes the 2-primary $v_1$-periodic homotopy groups of the special orthogonal groups $SO(n)$; the method is to calculate the Bendersky-Thompson spectral sequence, a $K_*$-based unstable homotopy spectral sequence, of $\operatorname{Spin}(n)$.