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Stable orders of stunted lens spaces mod $2^v$


Author: Huajian Yang
Journal: Proc. Amer. Math. Soc. 125 (1997), 2743-2751
MSC (1991): Primary 55N15, 55P25, 55T15
MathSciNet review: 1397001
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Abstract: Let $L_{2n-1}^{2n+2m}$ be the stunted lens space mod $2^v$ and $|L_{2n-1}^{2n+2m}|$ its stable order. If $v=1$, then $|L_{2n-1}^{2n+2m}|$ was determined by H. Toda (1963). In this paper, we determine the number $|L_{2n-1}^{2n+2m}|$ for $v\geq 2$.


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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: https://doi.org/10.1090/S0002-9939-97-03904-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
Article copyright: © Copyright 1997 American Mathematical Society