3 citations · 7 across the 11 of their papers we have counts for
15 papers
Chirality and non-real elements in
Sushil Bhunia, Amit Kulshrestha, Anupam Singh
In this article, we determine the non-real elements--the ones that are not conjugate to their inverses--in the group when . We use this to show that…
Conjugacy of free mappings embedded in a flow
Sushil Bhunia, Gangotryi Sorcar
In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of . We provide a necessary and sufficient condition…
Twisted Conjugacy in Big Mapping Class Groups
Sushil Bhunia, Swathi Krishna
Let be a group and be an automorphism of . Two elements of are said to be -twisted conjugate if for some . A group has the $R_{…
Twisted Conjugacy in Linear Algebraic Groups II
Sushil Bhunia, Anirban Bose
Let be a linear algebraic group over an algebraically closed field and the group of all algebraic group automorphisms of . For every $φ\…
z-classes in groups: a survey
Sushil Bhunia, Anupam Singh
This survey article explores the notion of z-classes in groups. The concept introduced here is related to the notion of orbit types in transformation groups, and types or genus in…
Twisted conjugacy in linear algebraic groups
Sushil Bhunia, Anirban Bose
Let be an algebraically closed field, a linear algebraic group over and , the group of all algebraic group automorphisms of . Two elements of …
Algorithms in Linear Algebraic Groups
Sushil Bhunia, Ayan Mahalanobis, Pralhad Shinde +1
This paper presents some algorithms in linear algebraic groups. These algorithms solve the word problem and compute the spinor norm for orthogonal groups. This gives us an algorith…
Twisted conjugacy classes in twisted Chevalley groups
Sushil Bhunia, Pinka Dey, Amit Roy
Let G be a group and ϕ be an automorphism of G. Two elements x, y of G are said to be ϕ-twisted if y = gxϕ(g)^{-1} for some g in G. We say that a group G has the R_{\infty}-propert…
Groups with maximum vertex degree commuting graphs
Sushil Bhunia, G. Arunkumar
Let be a group and be its center. We associate a commuting graph , whose vertex set is and two distinct vertices are adjacent if they commute. We…
Reversible Quaternionic Hyperbolic Isometries
Sushil Bhunia, Krishnendu Gongopadhyay
Let be a group. An element in is called reversible if it is conjugate to within , and called strongly reversible if it is conjugate to its inverse by an ord…
Conjugacy classes of centralizers in the group of upper triangular matrices
Sushil Bhunia
Let G be a group. Two elements x and y in G are said to be in the same z-class if their centralizers in G are conjugate within G. In this paper, we prove that the number of z-class…
Computations in Classical Groups
Sushil Bhunia
In this thesis, we develop algorithms similar to the Gaussian elimination algorithm in symplectic and split orthogonal similitude groups. As an application to this algorithm, we co…
z-Classes and Rational Conjugacy Classes in Alternating Groups
Sushil Bhunia, Dilpreet Kaur, Anupam Singh
In this paper, we compute the number of z-classes (conjugacy classes of centralizers of elements) in the symmetric group S_n, when n is greater or equal to 3 and alternating group…
Conjugacy classes of centralizers in unitary groups
Sushil Bhunia, Anupam Singh
Let be a group. Two elements are said to be in the same -class if their centralizers in are conjugate within . Consider a perfect field of cha…
Gaussian Elimination in Symplectic and split orthogonal groups
Sushil Bhunia, Ayan Mahalanobis, Pralhad Shinde +1
This paper studies an algorithm similar to that of Gaussian elimination in symplectic and orthogonal groups. We discuss two applications of this algorithm in computational group th…