On the algebraic K-theory of the coordinate axes over the integers

Vigleik Angeltveit and Teena Gerhardt

We show that the relative algebraic K-theory group K_2i(Z[x,y]/(xy),(x,y)) is free abelian of rank 1 and that K_2i+1(Z[x,y]/(xy),(x,y)) is finite of order (i!)². We also find the group structure of K_2i+1(Z[x,y]/(xy),(x,y)) in low degrees.

Homology, Homotopy and Applications, Vol. 13 (2011), No. 2, pp.103-111.

doi:10.4310/HHA.2011.v13.n2.a7

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