\(v_ 1\)-periodic homotopy groups of \(Sp(n)\)
type: Item
instance of: scholarly article
title: \(v_ 1\)-periodic homotopy groups of \(Sp(n)\)
zbMATH Open document ID: 0851.55021
author: Martin Bendersky
author: Donald M. Davis
author: Mark Mahowald
published in: Pacific Journal of Mathematics
publication date: 1995-01-01T00:00:00Z
review text: The 2-primary \(v_1\)-periodic homotopy groups of the symplectic groups \(\text{Sp}(n)\) are calculated. The proof utilizes new methods of calculating the unstable Novikov spectral sequence. One corollary is that some homotopy group of \(\text{Sp} (n)\) contains an element of order \(2^{2n-1}\).
Mathematics Subject Classification ID: 55T15
zbMATH DE Number: 910231
zbMATH Keywords: periodic homotopy groups
zbMATH Keywords: symplectic groups
zbMATH Keywords: unstable Novikov spectral sequence
MaRDI profile type: Publication
full work available at URL: pjm.1995.170.319
OpenAlex ID: W1571650685
DOI: 10.2140/PJM.1995.170.319
description: scientific article; zbMATH DE number 910231