29 citations · 103 across the 19 of their papers we have counts for
21 papers
Isomorphism of relative holomorphs and matrix similarity
Volker Gebhardt, Alberto J. Hernandez Alvarado, Fernando Szechtman
Let be a finite-dimensional vector space over the field with elements, where is a prime number. Given arbitrary , we consider the semidirect prod…
A path-deformation framework for determining weighted genome rearrangement distance
Sangeeta Bhatia, Attila Egri-Nagy, Stuart Serdoz +3
Measuring the distance between two bacterial genomes under the inversion process is usually done by assuming all inversions to occur with equal probability. Recently, an approach t…
On parabolic subgroups of Artin-Tits groups of spherical type
María Cumplido, Volker Gebhardt, Juan González-Meneses +1
We show that, in an Artin-Tits group of spherical type, the intersection of two parabolic subgroups is a parabolic subgroup. Moreover, we show that the set of parabolic subgroups f…
Constructing unlabelled lattices
Volker Gebhardt, Stephen Tawn
We present an improved orderly algorithm for constructing all unlabelled lattices up to a given size, that is, an algorithm that constructs the minimal element of each isomorphism…
Computational Enumeration of Independent Generating Sets of Finite Symmetric Groups
Attila Egri-Nagy, Volker Gebhardt
We developed computer algebra tools for enumerating conjugacy classes of independent subsets and generating sets of symmetric groups up to , and carried out an initial analysi…
Bacterial phylogeny in the Cayley graph
Chad Clark, Attila Egri-Nagy, Andrew R. Francis +1
Many models of genome rearrangement involve operations (e.g. inversions and translocations) that are self-inverse, and hence generate a group acting on the space of genomes. This g…