Year: 2026
Type: preprint
Abstract: We will answer a problem of Dotsenko that asks for a tight upper bound on the rank of subgroups given a maximum length for its generators. Then, we will use the same tools to answer a longstanding problem of Grigorchuk in the 10th edition of the Kourovka notebook. We accomplish this using Stallings foldings and simple graph theory.
Source: arXiv (Cornell University)
Authors: Koch-Hyde, Lucy, Olive, Éamonn
Institutions: The Graduate Center, CUNY, City University of New York
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7206189671