Dynamics of primitive elements under group actions

2024/03/25 by Pratyush Mishra, Mishra, Pratyush
Computer Science · Engineering · #20-08 (Secondary) #57S25 (Primary) 37E05 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR) #Image Processing and 3D Reconstruction #Mechanics and Biomechanics Studies

paper · pdf · doi:10.48550/arxiv.2403.16769

openalex publication_date 2024/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate group actions in which certain primitive elements fix a point, while not all group elements possess this property when acting upon some space. Using similar dynamical tools, we introduce the notion of Nielsen girth and prove the existence of groups with infinite girth but having finite Nielsen girth.

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