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

Vigleik Angeltveit, Teena Gerhardt
2011 Homology, Homotopy and Applications  
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.
doi:10.4310/hha.2011.v13.n2.a7 fatcat:oc4zgyoau5cbfhwqiehv76i2fy