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Stable orders of stunted lens spaces mod
Authors:Huajian Yang
Institution:Department of Mathematics, Lehigh University, Bethlehem, Pennsylvania 18015
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 $v\geq 2$.

Keywords:$K$-theory  stunted lens spaces  Adams spectral sequences  vanishing line theorem
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