4 papers
Gyrogroup through its Grothendieck Group Completion and Right gyrogroup action
Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1
In this article, we discuss the Grothendieck group completion (GGC) of a gyrogroup. Consequently, we show that there is a one to one correspondence between actions and representati…
Multiplicative Lie Algebra Structures on a Group
Mani Shankar Pandey, Sumit Kumar Upadhyay
The main aim of this paper is to classify the distinct multiplicative Lie algebra structures (up to isomorphism) on a given group. We also see that for a given group , every hom…
Theory of Extensions of Multiplicative Lie Algebras
Mani Shankar Pandey, Sumit Kumar Upadhyay
In this paper, we attempt to develop the Schreier theory for two special types extensions of multiplicative Lie algebras.
A Construction of Bent Functions on a finite group
Mani Shankar Pandey, Sumit Kumar Upadhyay, Vipul Kakkar
In this paper, we discuss when a class function on a finite group is a bent function. We have found a necessary condition for a class function on a finite abelian group to be bent.…