UPSILON(1)-PERIODIC HOMOTOPY-GROUPS OF SP(N)

Authors
BENDERSKY M DAVIS DM MAHOWALD M
Citation
M. Bendersky et al., UPSILON(1)-PERIODIC HOMOTOPY-GROUPS OF SP(N), Pacific journal of mathematics, 170(2), 1995, pp. 319-378
Citations number
33
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
170
Issue
2
Year of publication
1995
Pages
319 - 378
Database
ISI
SICI code
0030-8730(1995)170:2<319:UHOS>2.0.ZU;2-D
Abstract
In this paper we calculate the 2-primary v(1)-periodic homotopy groups of the symplectic groups Sp(n). The proof utilizes new methods of cal culating the unstable Novikov spectral sequence. One corollary is that some homotopy group of Sp(n) contains an element of order 2(2n-1).