|
Stable orders of stunted lens spaces mod
Author(s):
Huajian
Yang
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2743-2751.
MSC (1991):
Primary 55N15, 55P25, 55T15
Retrieve article in:
PDF
This article is available free of charge
Abstract |
References |
Similar articles |
Additional information
Abstract:
Let be the stunted lens space mod and its stable order. If , then was determined by H. Toda (1963). In this paper, we determine the number for .
References:
- 1.
- J. F. Adams, Vector fields on spheres, Ann. of Math., Vol.75 No.3 (1962) 603-632. MR 25:2614
- 2.
- J. F. Adams, A periodicity theorem in homological algebra, Proc. Camb. Phil. Soc. 62 (1966), 365-377. MR 33:2696
- 3.
- D. Ravenel, Complex cobordism and stable homotopy groups of spheres, Academic press, New York (1986). MR 87j:55003
- 4.
- T. Kobayashi and M. Sugawara, Note on
-rings of lens spaces mod , Hiroshima Math. J. 8 (1978), 85-90. MR 80e:55033 - 5.
- S. Kono and A. Tamamura, On the KO-cohomologies of the stunted lens spaces, Math. J. Okayama Univ. 29 (1987), 233-244. MR 89g:55007
- 6.
- Mark Mahowald, The metastable homotopy of
, Mem. Amer. Math. Soc., 72 (1967). MR 38:5216 - 7.
- R. M. Switzer, Algebraic Topology-Homotopy and Homology, Springer-Verlag Berlin Heidelberg (1978)
- 8.
- Hirosi Toda, Order of the identity class of a suspension space, Annals of Math. 78 No. 2 (1963), 300-325. MR 27:6271
- 9.
- G. W. Whitehead, Elements of homotopy theory, Springer-Verlag New York Heidelberg Berlin (1978). MR 80b:55001
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical Society
with MSC
(1991):
55N15, 55P25, 55T15
Retrieve articles in all Journals with MSC
(1991):
55N15, 55P25, 55T15
Additional Information:
Huajian
Yang
Affiliation:
Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
Address at time of publication:
Department of Mathematics and Statistics, McMaster University, Hamilton, Ontario, Canada L8S 4K1
Email:
hy02@lehigh.edu, yangh@icarus.math.mcmaster.ca
DOI:
10.1090/S0002-9939-97-03904-X
PII:
S 0002-9939(97)03904-X
Keywords:
$K$-theory,
stunted lens spaces,
Adams spectral sequences,
vanishing line theorem
Received by editor(s):
May 25, 1995
Received by editor(s) in revised form:
March 13, 1996
Communicated by:
Thomas G. Goodwillie
Copyright of article:
Copyright
1997,
American Mathematical Society
|