Rabeya Basu
Absence of torsion for NK_1(R) over associative rings.
Tue, 01/05/2010 - 16:01 — SomNambulAuthors: Rabeya Basu
Subjects: K-Theory and Homology
AbstractWhen R is a commutative ring with identity, and if k is a natural number with
kR = R, then C. Weibel proved that SK_1(R[X]) has no k-torsion. We reprove his
result for any associative ring R with identity in which kR = R.A note on Quadratic and Hermitian Groups.
Mon, 11/30/2009 - 16:01 — SomNambulAuthors: Rabeya Basu
Subjects: K-Theory and Homology
AbstractIn this article we deduce an analogue of Quillen's Local-Global Principle for
the elementary subgroup of the general quadratic group and the hermitian group.
We show that the unstable K_1-groups of the hermitian groups are nilpotent by
abelian. This generalizes earlier results of A. Bak, R. Hazrat, N. Vavilov and
etal..Local-Global Principle for Transvection Groups.
Mon, 08/24/2009 - 13:10 — SomNambulAuthors: A. Bak, Rabeya Basu, Ravi A. Rao
Subjects: Commutative Algebra
AbstractIn this article we extend the validity Suslin's Local-Global Principle for
the elementary transvection subgroup of the general linear group, the
symplectic group, and the orthogonal group, where n > 2, to a Local-Global
Principle for the elementary transvection subgroup of the automorphism group
Aut(P) of either a projective module P of global rank > 0 and constant local
rank > 2, or of a nonsingular symplectic or orthogonal module P of global
hyperbolic rank > 0 and constant local hyperbolic rank > 2.
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