3 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…