2 papers
math.GR2024
Infinite groups with isomorphic power graph and commuting graph
Surbhi, Geetha Venkataraman
In this paper, we investigate certain graphs defined on groups, with a focus on infinite groups. The graphs discussed are the power graph, the enhanced power graph, and the commuti…
math.GR2024
Non-Isomorphic Groups with Isomorphic Power and Commuting Graphs
Surbhi, Geetha Venkataraman
The power graph of a group is a graph with vertex set , in which two vertices are adjacent if one is some power of the other. In the commuting graph, with as the vertex…