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

  • Justin Malestein

    University of Oklahoma, Norman, USA

  • Andrew Putman

    University of Notre Dame, Notre Dame, USA
Word length versus lower central series depth for surface groups and RAAGs cover

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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 term of the lower central series.

Cite this article

Justin Malestein, Andrew Putman, Word length versus lower central series depth for surface groups and RAAGs. Groups Geom. Dyn. (2024), published online first

DOI 10.4171/GGD/842