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20 April 2024
 
  » arxiv » math.AT/9805013

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3-primary v1-periodic homotopy groups of E7
Donald M. Davis ;
Date 4 May 1998
Subject Algebraic Topology MSC-class: 55Q52 | math.AT
AbstractWe 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 Omega E7/Sp(2). Showing that this converges to v1-periodic homotopy groups requires recent work of Bousfield and Bendersky-Thompson.
Source arXiv, math.AT/9805013
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