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arXiv · 2307.04882

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

Justin Malestein·Andrew Putman
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Abstract

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.

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Justin Malestein, Andrew Putman. 2023-07-10. Word length versus lower central series depth for surface groups and RAAGs. https://arxiv.org/abs/2307.04882

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