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math.GR2024
Rewriting in Artin groups without A_3 or B_3 subdiagrams
Rubén Blasco-García, María Cumplido, Derek F. Holt +2
We prove that the word problem in an Artin group G based on a diagram without A_3 or B_3 subdiagrams can be solved using a system of length preserving rewrite rules which, together…
math.GR2024
Pattern preserving quasi-isometries in lamplighter groups and other related groups
Tullia Dymarz, Beibei Liu, Nataša Macura +1
In this paper we explore the interplay between aspects of the geometry and algebra of three families of groups of the form B semidirect the integers Z, namely Lamplighter groups, s…