3-primary v1-periodic homotopy groups of E7

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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.
51 pages. Submitted to New York Electronic Journal of Mathematics

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Algebraic Topology, 55Q52

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http://salesiana.dossiersoluciones.com/handle/123456789/76893

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9805013
 http://arxiv.org/abs/math/9805013

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arXiv