On p-adic ?-rings and the K-theory of H-spaces.
On -equivariant homology.
On some invariants preserved by isomorphisms of tables of marks.
On stable K-theory and topological Hochschild homology.
On symplectic groups over polynomial rings.
On the 2-primary part of K₂ of rings of integers in certain quadratic number fields
1. Introduction. For quadratic fields whose discriminant has few prime divisors, there are explicit formulas for the 4-rank of . For quadratic fields whose discriminant has arbitrarily many prime divisors, the formulas are less explicit. In this paper we will study fields of the form , where the primes are all congruent to 1 mod 8. We will prove a theorem conjectured by Conner and Hurrelbrink which examines under what conditions the 4-rank of is zero for such fields. In the course of proving...
On the 2-Sylow subgroup of the Hilbert kernel of of number fields
On the 2-typical de Rham-Witt complex.
On the 4-rank of tame kernels of quadratic number fields
On the Chow groups of quadratic Grassmannians.
On the cycle map for products of elliptic curves over a p-adic field
On the cyclic homology of ringed spaces and schemes.
On the cyclotomic elements in K₂ of a rational function field
If l is a prime number, the cyclotomic elements in the l-torsion of K₂(k(x)), where k(x) is the rational function field over k, are investigated. As a consequence, a conjecture of Browkin is partially confirmed.
On the de Rham–Witt complex in mixed characteristic
On the decomposition map of Grothendieck groups.
On the domain of the assembly map in algebraic -theory.
On the elements of prime power order in K₂ of a number field
On the equivalence of Quillen's and Swan's -theories.
On the equivariant main conjecture of Iwasawa theory
On the exponent of the cokernel of the forget-control map on K₀-groups
For groups that satisfy the Isomorphism Conjecture in lower K-theory, we show that the cokernel of the forget-control K₀-groups is composed by the NK₀-groups of the finite subgroups. Using this information, we can calculate the exponent of each element in the cokernel in terms of the torsion of the group.