2 papers
math.GR2026
An Arithmetic Characterization of 2-Generated Numbers
Bireswar Das, Kavita Samant, Dhara Thakkar
A group is said to be -generated if it has a generating set with elements. A positive integer is called a \emph{2-generated number} if every group of order is 2-…
cs.DS2026
Complexity of Constructing Minimal Faithful Permutation Representations for Fitting-free Groups
Michael Levet, Pranjal Srivastava, Dhara Thakkar
In this paper, we investigate the complexity of computing minimal faithful permutation representations for groups without abelian normal subgroups (a.k.a. Fitting-free groups). Whe…