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math.GR2024
Grid diagrams for higher-dimensional Thompson's groups
José Burillo, Sean Cleary, Brita Nucinkis
We describe standard forms for elements of the higher-dimensional Thompson groups arising from gridding subdivision processes. These processes lead to standard normal form des…
math.GR1998
Metrics and embeddings of generalizations of Thompson's group F
Jose Burillo, Sean Cleary, Melanie Stein
The distance from the origin in the word metric for generalizations F(p) of Thompson's group F is quasi-isometric to the number of carets in the reduced rooted tree diagrams repres…