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3-primary v1-periodic homotopy groups of E7

Donald M. Davis
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Abstract

We compute the 3-primary v1-periodic homotopy groups of the exceptional Lie group E7. Now E8 at the primes 3 and 5 is the only compact simple Lie group whose odd-primary v1-periodic homotopy groups remian to be computed. The main work is computing the unstable Novikov spectral sequence of ΩE7/Sp(2). Showing that this converges to v1-periodic homotopy groups requires recent work of Bousfield and Bendersky-Thompson.

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Donald M. Davis. 1998-05-04. 3-primary v1-periodic homotopy groups of E7. https://arxiv.org/abs/math/9805013

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