Geodesic
On the algebraic $K$-theory of the coordinate axes over the integers
Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 103-111.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2011.v13.n2.a7
Classification : 19D55, 55Q91
Keywords: algebraic $K$-theory, equivariant homotopy, topological cyclic homology 
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Vigleik Angeltveit; Teena Gerhardt. On the algebraic $K$-theory of the coordinate axes over the integers. Homology, homotopy, and applications, Tome 13 (2011) no. 2, pp. 103-111. doi : 10.4310/HHA.2011.v13.n2.a7. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n2.a7/

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