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Sampat Sharma
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All published works
Action
Title
Year
Authors
+
Relative unimodular rows over polynomial rings
2024
Kuntal Chakraborty
Sampat Sharma
+
A sufficient criterion about group homomorphism of the first row map
2023
Sampat Sharma
+
Applications of Swan's Bertini theorem to unimodular rows
2023
Manoj K. Keshari
Sampat Sharma
+
PDF
Chat
Generalised homotopy and commutativity principle
2022
Ravi A. Rao
Sampat Sharma
+
PDF
Chat
Unimodular rows over affine algebras over algebraic closure of a finite field
2022
Sampat Sharma
+
Unimodular rows over affine algebras over algebraic closure of a finite field
2022
Sampat Sharma
+
Generalised homotopy and commutativity principle
2022
Ravi A. Rao
Sampat Sharma
+
PDF
Chat
Nice group structure on the elementary orbit space of unimodular rows
2021
Manoj K. Keshari
Sampat Sharma
+
PDF
Chat
Generalised MennickeāNewman lemma
2021
Sampat Sharma
+
Generalised Mennicke-Newman lemma.
2021
Sampat Sharma
+
PDF
Chat
Completion of skew completable unimodular rows
2021
Sampat Sharma
+
Nice group structure on the elementary orbit space of unimodular rows
2021
Manoj K. Keshari
Sampat Sharma
+
PDF
Chat
Absence of torsion in orbit space
2021
Sampat Sharma
+
On the first row map <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>G</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">ā¶</mml:mo><mml:mfrac><mml:mrow><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:ā¦
2021
Sampat Sharma
+
Completion of skew completable unimodular rows
2021
Sampat Sharma
+
Applications of Swan's Bertini to unimodular rows
2021
Manoj K. Keshari
Sampat Sharma
+
Generalised Mennicke-Newman lemma
2021
Sampat Sharma
+
Completion of skew completable unimodular rows
2021
Sampat Sharma
+
On completion of unimodular rows over polynomial extension of finitely generated rings over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math>
2020
Sampat Sharma
+
Absence of torsion in orbit space.
2020
Sampat Sharma
+
On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$
2020
Sampat Sharma
+
Group Homomorphism Over a Polynomial Extension of a Local Ring at d + 1 Level
2020
Sampat Sharma
+
PDF
Chat
The Quotient Unimodular Vector Group is Nilpotent
2020
Reema Khanna
Selby Jose
Sampat Sharma
Ravi A. Rao
+
On the first row map $GL_{d+1}(R)\longrightarrow \frac{Um_{d+1}(R)}{E_{d+1}(R)}$
2020
Sampat Sharma
+
Absence of torsion in orbit space
2020
Sampat Sharma
+
On completion of unimodular rows over polynomial extension of finitely generated rings over $\mathbb{Z}$
2020
Sampat Sharma
+
PDF
Chat
Homotopy and commutativity principle
2017
Ravi A. Rao
Sampat Sharma
+
Homotopy and Commutativity Principle
2017
Ravi A. Rao
Sampat Sharma
+
Homotopy and Commutativity Principle
2017
Ravi A. Rao
Sampat Sharma
Common Coauthors
Coauthor
Papers Together
Ravi A. Rao
6
Manoj K. Keshari
4
Selby Jose
1
Reema Khanna
1
Kuntal Chakraborty
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
+
The Bass-Quillen conjecture in dimension three but characteristic ?2, 3 via a question of A. Suslin
1988
Ravi A. Rao
16
+
A group structure on certain orbit sets of unimodular rows
1983
Wilberd van der Kallen
15
+
ON THE STRUCTURE OF THE SPECIAL LINEAR GROUP OVER POLYNOMIAL RINGS
1977
Andrei Suslin
15
+
SERRE'S PROBLEM ON PROJECTIVE MODULES OVER POLYNOMIAL RINGS, AND ALGEBRAIC $ K$-THEORY
1976
L. N. Vaserstein
Andrei Suslin
12
+
Serreās Problem on Projective Modules
2006
Tsit Yuen Lam
11
+
PDF
Chat
A module structure on certain orbit sets of unimodular rows
1989
Wilberd van der Kallen
11
+
ON STABLY FREE MODULES
1977
Andrei Suslin
9
+
PDF
Chat
On completing unimodular polynomial vectors of length three
1991
Ravi A. Rao
8
+
Projective modules over polynomial rings
1976
Daniel Quillen
7
+
A nice group structure on the orbit space of unimodular rows
2007
Anuradha S. Garge
Ravi A. Rao
6
+
PDF
Chat
On stably extended projective modules over polynomial rings
1986
Moshe Roitman
6
+
A nice group structure on the orbit space of unimodular rows-II
2014
Anjan K. Gupta
Anuradha S. Garge
Ravi A. Rao
6
+
Elementary symplectic orbits and improved <i>K</i><sub>1</sub>-stability
2010
Pratyusha Chattopadhyay
Ravi A. Rao
5
+
Operations on orbits of unimodular vectors
1986
L. N. Vaserstein
5
+
Zero Cycles and Projective Modules
1994
M. Pavaman Murthy
4
+
Computation of k<sub>1</sub>Via mennicke symbols
1987
L. N. Vaserstein
4
+
On completion of unimodular rows over polynomial extension of finitely generated rings over <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi mathvariant="double-struck">Z</mml:mi></mml:math>
2020
Sampat Sharma
4
+
PDF
Chat
Some remarks on symplectic injective stability
2010
Rabeya Basu
Pratyusha Chattopadhyay
Ravi A. Rao
4
+
A class of projective modules which are nearly free
1975
Richard G. Swan
Jacob Towber
4
+
PDF
Chat
Cancellation problem for projective modules over affine algebras
2008
Manoj K. Keshari
4
+
Nonabelian K-theory: The nilpotent class of K1 and general stability
1991
Anthony Bak
3
+
A structure theorem for the elementary unimodular vector group
2005
Selby Jose
Ravi A. Rao
3
+
ON THE STABILIZATION OF THE GENERAL LINEAR GROUP OVER A RING
1969
L. N. Vaserstein
3
+
PDF
Chat
An elementary transformation of a special unimodular vector to its top coefficient vector
1985
Ravi A. Rao
3
+
PDF
Chat
Optimal injective stability for the symplectic K1Sp group
2014
Anjan K. Gupta
3
+
Two examples of the Bass-Quillen-Suslin Conjectures
1987
Ravi A. Rao
3
+
Suslin's work on linear groups over polynomial rings and Serre problem
1980
Shubham Gupta
M. Pavaman Murthy
3
+
Serre's conjecture
1978
Tsit Yuen Lam
3
+
Equality of elementary linear and symplectic orbits with respect to an alternating form
2015
Pratyusha Chattopadhyay
Ravi A. Rao
3
+
Mennicke symbols, š¾-cohomology and a Bass-Kubota theorem
2014
Jean Fasel
3
+
PDF
Chat
Algebraic K-theory and crystalline cohomology
1977
Spencer Bloch
2
+
Injective stability for <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="normal">K</mml:mi><mml:mn>1</mml:mn></mml:msub></mml:math> of classical modules
2009
Rabeya Basu
Ravi A. Rao
2
+
Faisceaux Algebriques Coherents
1955
Jean-Pierre Serre
2
+
A cancellation theorem for projective modules in the metastable range
1974
Richard G. Swan
2
+
Complete intersection points on affine varieties
1984
Charles A. Weibel
2
+
On the structure of theGL 2 of a ring
1966
P. M. Cohn
2
+
PDF
Chat
A group structure on squares
2007
Ravi A. Rao
Selby Jose
2
+
THE STABILIZATION OF SYMPLECTIC GROUPS OVER A POLYNOMIAL RING
1978
V. I. KopeÄko
2
+
STABILIZATION OF UNITARY AND ORTHOGONAL GROUPS OVER A RING WITH INVOLUTION
1970
L. N. Vaserstein
2
+
Structure of Chevalley groups over rings via universal localization
2015
A. V. Stepanov
2
+
PDF
Chat
Homotopy and commutativity principle
2017
Ravi A. Rao
Sampat Sharma
2
+
š¾-theory and š¦-cohomology of certain group varieties
1991
Andrei Suslin
2
+
PDF
Chat
ABSENCE OF TORSION FOR <font>NK</font><sub>1</sub>(R) OVER ASSOCIATIVE RINGS
2011
Rabeya Basu
2
+
On the first row map <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>G</mml:mi><mml:msub><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>d</mml:mi><mml:mo linebreak="badbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msub><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo><mml:mo stretchy="false">ā¶</mml:mo><mml:mfrac><mml:mrow><mml:mi>U</mml:mi><mml:msub><mml:mrow><mml:mi>m</mml:mi></mml:ā¦
2021
Sampat Sharma
2
+
Algebraic K-theory
1968
Hyman Bass
2
+
PDF
Chat
K1 of Chevalley groups are nilpotent
2003
Roozbeh Hazrat
N. A. Vavilov
1
+
LOCALIZATION IN HERMITIAN $K$-THEORY OF RINGS
2004
Jens Hornbostel
Marco Schlichting
1
+
Extendability of quadratic modules with sufficient witt index
1984
Ravi A. Rao
1
+
q-expansions of vector-valued modular forms of negative weight
2011
JosƩ Ariel GimƩnez
Wissam Raji
1
+
The orbit set and the orthogonal quotient
2015
Ravi A. Rao
Selby Jose
1