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pro vyhledávání: '"Bhunia, Sushil"'
In this article, we determine the non-real elements--the ones that are not conjugate to their inverses--in the group $G = G_2(q)$ when $char(F_q)\neq 2,3$. We use this to show that this group is chiral; that is, there is a word w such that $w(G)\neq
Externí odkaz:
http://arxiv.org/abs/2408.15546
Autor:
Bhunia, Sushil, Sorcar, Gangotryi
In this paper we study free mappings of the plane, that is orientation preserving fixed point free homeomorphisms of $\mathbb{R}^2$. We provide a necessary and sufficient condition under which two free mappings of the plane that are embedded in flows
Externí odkaz:
http://arxiv.org/abs/2211.08556
Autor:
Bhunia, Sushil, Krishna, Swathi
Let $G$ be a group and $\varphi$ be an automorphism of $G$. Two elements $x, y$ of $G$ are said to be $\varphi$-twisted conjugate if $y=gx\varphi(g)^{-1}$ for some $g\in G$. A group $G$ has the $R_{\infty}$-property if the number of $\varphi$-twisted
Externí odkaz:
http://arxiv.org/abs/2112.06612
Autor:
Bhunia, Sushil, Bose, Anirban
Let $G$ be a linear algebraic group over an algebraically closed field $k$ and $\mathrm{Aut}_{\mathrm{alg}}(G)$ the group of all algebraic group automorphisms of $G$. For every $\varphi\in \mathrm{Aut}_{\mathrm{alg}}(G)$ let $\mathcal{R}(\varphi)$ de
Externí odkaz:
http://arxiv.org/abs/2106.04242
Autor:
Bhunia, Sushil, Bose, Anirban
Let $k$ be an algebraically closed field, $G$ a linear algebraic group over $k$ and $\varphi\in Aut(G)$, the group of all algebraic group automorphisms of $G$. Two elements $x, y$ of $G$ are said to be $\varphi$-twisted conjugate if $y=gx\varphi(g)^{
Externí odkaz:
http://arxiv.org/abs/2004.09635
Autor:
Bhunia, Sushil, Singh, Anupam
Publikováno v:
Indian J. Pure Appl. Math. 52 (2021), no. 3, 713-720
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 the representation theory of finite groups of Lie type. Two elements i
Externí odkaz:
http://arxiv.org/abs/2004.07529
Publikováno v:
Adv. Appl. Clifford Algebras 30, 31 (2020)
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 algorithmic definition of the spinor norm. We compute the double coset decompo
Externí odkaz:
http://arxiv.org/abs/2003.06292
Let G be a group and {\phi} be an automorphism of G. Two elements x, y of G are said to be {\phi}-twisted if y = gx{\phi}(g)^{-1} for some g in G. We say that a group G has the R_{\infty}-property if the number of {\phi}-twisted conjugacy classes is
Externí odkaz:
http://arxiv.org/abs/2002.01446
Autor:
Bhunia, Sushil, Arunkumar, G.
Let $G$ be a group and $Z(G)$ be its center. We associate a commuting graph ${\Gamma}(G)$, whose vertex set is $G\setminus Z(G)$ and two distinct vertices are adjacent if they commute. We say that ${\Gamma}(G)$ is strong $k$ star free if the $k$ star
Externí odkaz:
http://arxiv.org/abs/1908.08226
Let $G$ be a group. An element $g$ in $G$ is called reversible if it is conjugate to $g^{-1}$ within $G$, and called strongly reversible if it is conjugate to its inverse by an order two element of $G$. Let $\textbf{H}_{\mathbb H}^n$ be the $n$-dimen
Externí odkaz:
http://arxiv.org/abs/1903.04034