6 citations · 14 across the 10 of their papers we have counts for
10 papers
Results on of general quadratic groups
Rabeya Basu, Kuntal Chakraborty
In the first part of this article we discuss the relative cases of Quillen-Suslin's local-global principle for the general quadratic (Bak's unitary) groups, and its applications fo…
NK_1 of Bak's unitary group over Graded Rings
Rabeya Basu, Kuntal Chakraborty
For an associative ring with identity, we study the absence of -torsion in NK_1GQ(R); Bass nil-groups for the general quadratic or Bak's unitary groups. By using a graded ve…
Quillen--Suslin Theory; Revisited over Graded Rings
Rabeya Basu, Manish Kumar Singh
In this paper we deduce a graded version of Quillen--Suslin's Local-Global Principle for the traditional classical groups, viz. general linear, symplectic and orthogonal groups and…
The Pillars of Relative Quillen--Suslin Theory
Rabeya Basu, Reema Khanna, Ravi A. Rao
We deduce the relative version of the equivalences relating the relative Local Global Principle and the Normality of the relative Elementary subgroups of the traditional classical…
A note on general quadratic groups
Rabeya Basu
We deduce an analogue of Quillen--Suslin's local-global principle for the transvection subgroups of the general quadratic (Bak's unitary) groups. As an application we revisit the r…
Local-global principle for General Quadratic and General Hermitian groups and the nilpotence of KH_1
Rabeya Basu
In this article we establish an analog of the Quillen---Suslin's local-global principle for the elementary subgroup of the general quadratic group and the general Hermitian group.…