6 papers
Automorphisms of Twisted Chevalley Groups of type over Local Rings
Elena I. Bunina, Deep H. Makadiya
This paper is part of a series devoted to the classification of isomorphisms and automorphisms of twisted Chevalley groups over commutative rings. In this work, we prove that every…
Automorphisms of Twisted Chevalley Groups of type over Local Rings
Elena I. Bunina, Deep H. Makadiya
This paper is the first in a series devoted to the classification of automorphisms and isomorphisms of twisted Chevalley groups over commutative rings. In the present paper, we pro…
On Normal Subgroups of Twisted Chevalley Groups over Commutative Rings
Shripad M. Garge, Deep H. Makadiya
In this paper, we prove two structure theorems for twisted Chevalley groups over a commutative ring with unity. The first theorem concerns the normality of $E'_Ï(R,J…
Some Properties of Twisted Chevalley Groups
Deep H. Makadiya
This thesis investigates certain structural properties of twisted Chevalley groups over commutative rings, focusing on three key problems. Let be a commutative ring satisfying…
Triangular and Unitriangular Factorization of Twisted Chevalley Groups
Shripad M. Garge, Deep H. Makadiya
The existence of triangular and unitriangular factorizations has been extensively studied for untwisted Chevalley groups, as well as for twisted Chevalley groups of types other tha…
Normalizer of Twisted Chevalley Groups over Commutative Rings
Shripad M. Garge, Deep H. Makadiya
Let be a commutative ring with unity. Consider the twisted Chevalley group of type over and its elementary subgroup . This pa…