10 citations · 51 across the 29 of their papers we have counts for
39 papers
Finite abelian groups are Schur multipliers of finite solvable groups
Derek F. Holt
We prove that every finite abelian group arises as the Schur multiplier of a finite solvable group, from which it can be deduced that every finite abelian group is the knot group o…
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…
Isomorphism and non-isomorphism for interval groups of type D_n
Barbara Baumeister, Derek F. Holt, Georges Neaime +1
We consider presentations that were derived in \cite{BaumeisterNeaimeRees} for the interval groups associated with proper quasi-Coxeter elements of the Coxeter group . We u…
Interval groups related to finite Coxeter groups, Part II
Barbara Baumeister, Derek F. Holt, Georges Neaime +1
We provide a complete description of the presentations of the interval groups related to quasi-Coxeter elements in finite Coxeter groups. In the simply laced cases, we show that ea…
Using EDT0L systems to solve some equations in the solvable Baumslag-Solitar groups
Andrew Duncan, Alex Evetts, Derek F. Holt +1
We investigate the solution sets to equations in the solvable Baumslag-Solitar groups , , and show that these sets are represented by EDT0L languages in some cases…
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…