On Wiegold's conjecture for the small Ree groups

2025/10/07 by Sira Busch, Busch, Sira, Mark Pengitore +5
Mathematics · #Finite Group Theory Research #Geometric and Algebraic Topology #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.2510.06479

Abstract

The Wiegold conjecture holds for the small Ree groups for k-tuples where k ≥ 5.

Citations

• Aut(Fn) actions on representation spaces
• The spread of a finite group
• Dynamics of Aut(Fn) Actions on Group Presentations and Representations
• Nielsen equivalence in small cancellation groups
• Presentations of finite simple groups: a computational approach

Related

• On quantitative structure of small Ree groups
• Proof of a Conjecture of Wiegold
• The Möbius function of the small Ree groups
• Small doubling in groups
• Malle's Conjecture for G × A, with G = S₃, S₄, S₅