6 citations · 9 across the 8 of their papers we have counts for
8 papers · 1 filter
On relative commuting probability of finite rings
Parama Dutta, Rajat Kanti Nath
In this paper we study the probability that the commutator of a randomly chosen pair of elements, one from a subring of a finite ring and other from the ring itself equals to a giv…
On generalized commuting probability of finite rings
Parama Dutta, Rajat Kanti Nath
Let be a finite ring and . The aim of this paper is to study the probability that the commutator of a randomly chosen pair of elements of equals .
On relative autocommutativity degree of a subgroup of a finite group
Parama Dutta, Rajat Kanti Nath
In this paper, we consider the probability that a randomly chosen automorphism of a finite group fixes a randomly chosen element of a subgroup of that group. We obtain several new…
On Laplacian energy of non-commuting graphs of finite groups
Parama Dutta, Rajat Kanti Nath
In this paper, we compute Laplacian energy of the non-commuting graphs of some classes of finite non-abelian groups.
Laplacian Spectrum of non-commuting graphs of finite groups
Parama Dutta, Jutirekha Dutta, Rajat Kanti Nath
In this paper, we compute the Laplacian spectrum of non-commuting graphs of some classes of finite non-abelian groups. Our computations reveal that the non-commuting graphs of all…
Various energies of some super integral groups
Parama Dutta, Rajat Kanti Nath
In this paper, we obtain energy, Laplacian energy and signless Laplacian energy of the commuting graphs of some families of finite non-abelian groups.
Autocommuting probability of a finite group relative to its subgroups
Parama Dutta, Rajat Kanti Nath
Let be two subgroups of a finite group and Aut the automorphism group of . The autocommuting probability of relative to its subgroups and , d…
Autocommuting probability of a finite group
Parama Dutta, Rajat Kanti Nath
Let be a finite group and $\Aut(G)$ the automorphism group of . The autocommuting probability of , denoted by $\Pr(G, \Aut(G))$, is the probability that a randomly chosen…