Word length versus lower central series depth for surface groups and RAAGs

Fuente: arXiv
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Auteurs principaux: Malestein, Justin, Putman, Andrew
Format: Preprint
Publié: 2023
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author Malestein, Justin
Putman, Andrew
author_facet Malestein, Justin
Putman, Andrew
contents For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower central series.
format Preprint
id arxiv_https___arxiv_org_abs_2307_04882
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Word length versus lower central series depth for surface groups and RAAGs
Malestein, Justin
Putman, Andrew
Group Theory
Geometric Topology
For surface groups and right-angled Artin groups, we prove lower bounds on the shortest word in the generators representing a nontrivial element of the kth term of the lower central series.
title Word length versus lower central series depth for surface groups and RAAGs
topic Group Theory
Geometric Topology
url https://arxiv.org/abs/2307.04882