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20232026
most citedSolvability of a group based on its number of subgroups

1 citations · 2 across the 8 of their papers we have counts for

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8 papers

math.GR2026

On Connectivity of Comaximal Subgroup Graph

Angsuman Das, Arnab Mandal, Labani Sarkar

The co-maximal subgroup graph of a finite group is defined to be a graph with the set of all non-trivial proper subgroups of as the set of vertices and two distinct…

math.GR2025

The Difference Subgroup Graph of a Finite Group

Angsuman Das, Arnab Mandal, Labani Sarkar

The \emph{difference subgroup graph} of a finite group is defined as the graph whose vertices are the non-trivial proper subgroups of , with two distinct vertices …

math.GR2025

On Independence Number of Comaximal Subgroup Graph

Angsuman Das, Arnab Mandal

In this paper, we establish sharp thresholds on the independence number of the comaximal subgroup graph that guarantee solvability, supersolvability, and nilpotency of the u…

math.CO2024

Automorphism group of a family of distance regular graphs which are not distance transitive

Angsuman Das, S. Morteza Mirafzal

Let for and . Define to be the Cayley graph of with respect to th…

math.GR2024★ 1 cited

Solvability of a group based on its number of subgroups

Angsuman Das, Arnab Mandal

In this paper, we provide some conditions of (super)-solvability and nilpotency of a finite group based on its number of subgroups . Our results generalize the classifi…

math.GR2024

On a family of quasi-strongly regular Cayley graphs

Sucharita Biswas, Angsuman Das

In this paper, we construct a family of quasi-strongly regular Cayley graphs which is defined on a finite group with respect to a subgroup of . We also compute…

math.NT2023★ 1 cited

A Family of Iterated Maps on Natural Numbers

Angsuman Das

In this paper, we introduce and study the iterates of the following family of functions defined on natural numbers which exhibits nice properties. $$φ_k(x)=\left\lbrace \begi…

math.GR2023

On Some Intersection Properties of Finite Groups

Angsuman Das, Arnab Mandal

In this article, we introduce the study of a class of finite groups which admits a subgroup which intersects all non-trivial subgroups of . We also explore a subclass of it…