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math.AT2008★ 2 cited
RO(S^1)-graded TR-groups of F_p, Z and \ell
Vigleik Angeltveit, Teena Gerhardt
We give an algorithm for calculating the RO(S^1)-graded TR-groups of F_p, completing the calculation started by the second author. We also calculate the RO(S^1)-graded TR-groups of…
math.AT2008★ 8 cited
On the K-theory of truncated polynomial algebras over the integers
Vigleik Angeltveit, Teena Gerhardt, Lars Hesselholt
We show that the K_{2i}(Z[x]/(x^m),(x)) is finite of order (mi)!(i!)^{m-2} and that K_{2i+1}(Z[x]/(x^m),(x)) is free abelian of rank m-1. This is accomplished by showing that the e…