3 papers
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.GR2023
Artin groups of type (2,3,n)
Derek F. Holt, Sarah Rees
Our main theorem is that the word problem in the Artin group G = <a,b,c | aba=bab, ac=ca, {}_{n}(b,c) = {}_{n}(c,b) > for n >= 5 can be solved using a system R of length preserving…
math.GR2021
Regular orbits of finite primitive solvable groups, the final classification
Derek Holt, Yong Yang
Suppose that a finite solvable group acts faithfully, irreducibly and quasi-primitively on a finite vector space , and is not metacyclic. Then always has a regular o…