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20212024
most citedThe Schur multiplier of some finite multiplicative Lie algebras

1 citations · 1 across the 6 of their papers we have counts for

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7 papers

math.GR2024

Lie nilpotency and Lie solvability of tensor product of multiplicative Lie algebras

Deepak Pal, Amit Kumar, Sumit Kumar Upadhyay +1

In this article, we discuss Lie nilpotency and Lie solvability of non-abelian tensor product of multiplicative Lie algebras. In particular, for giving information concerning the Li…

math.GR2023

Multiplicative Lie algebra structures on semi-direct product of groups

Deepak Pal, Amit Kumar, Sumit Kumar Upadhyay +1

The main aim of this paper is to determine the multiplicative lie algebra structures on the semi-direct product of an abelian group with a group under certain conditions.

math.GR2022★ 1 cited

The Schur multiplier of some finite multiplicative Lie algebras

Amit Kumar, Deepak Pal, Seema Kushwaha +1

The main aim of the article is to find the Schur multiplier and the Lie exterior square of some finite multiplicative Lie algebras. For a non abelian simple group with trivial…

math.GR2021

Gyrogroup extensions and semi cross product

Akshay Kumar, Mani Shankar Pandey, Seema Kushwaha +1

The aim of the article is to study the extension theory of gyrogroups under certain conditions. Consequently, we see that there is an equivalence between the category GEXT of group…

math.NT2021

Farey-subgraphs and Continued Fractions

S. Kushwaha, R. Sarma

In this note, we study a family of subgraphs of the Farey graph, denoted as for every We show that is connected if and only if …

math.GR2021

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…

math.CO2021

Hamiltonicity of doubly semi-equivelar maps on the torus

Yogendra Singh, Anand Kumar Tiwari, Seema Kushwaha

The well-known twenty types of 2-uniform tilings of the plane give rise infinitely many doubly semi-equivelar maps on the torus. In this article, we show that every such doubly sem…