Abstract
We show that the relative algebraic $K$-theory group $K_{2i}(\mathbb{Z}[x, y]/(xy), (x, y))$ is free abelian of rank 1 and that $K_{2i+1}(\mathbb{Z}[x, y]/(xy), (x, y))$ is finite of order $(i!)^2$. We also find the group structure of $K_{2i+1}(\mathbb{Z}[x, y]/(xy), (x, y))$ in low degrees.
Citation
Vigleik Angeltveit. Teena Gerhardt. "On the algebraic $K$-theory of the coordinate axes over the integers." Homology Homotopy Appl. 13 (2) 103 - 111, 2011.
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