The Andreadakis Problem for the McCool groups
Group Theory
2025-03-10 v2 Algebraic Topology
Abstract
In this short paper, we show that the McCool group does not satisfy the Andreadakis equality from degree , and we give a lower bound for the size of the difference between the two relevant filtrations. As a consequence, we see that the Andreadakis problem for the McCool group does not stabilize.
Cite
@article{arxiv.2502.20652,
title = {The Andreadakis Problem for the McCool groups},
author = {Jaques Darné and Naoya Enomoto and Takao Satoh},
journal= {arXiv preprint arXiv:2502.20652},
year = {2025}
}
Comments
11 pages