Derek F. Holt

dblp:22/1357 · DBLP profile ↗
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19ranked-venue papers
8as first author
1since 2021 · last 2021
0009-0008-1671-5576ORCID · corroborated

Domains — the database's venue-derived domains; a paper can count in several

Theory of computation · 19 · 8 first-author · 1 since 2021
YearPublicationVenuePosition
2021 Polynomial-time proofs that groups are hyperbolic
Derek F. Holt, Stephen A. Linton, Max Neunhöffer, Richard Parker, Markus Pfeiffer, Colva M. Roney-Dougal
J. Symb. Comput.1
2020 A census of small transitive groups and vertex-transitive graphs
Derek F. Holt, Gordon F. Royle
J. Symb. Comput.1
2019 Compressed Decision Problems in Hyperbolic Groups
abstract
We prove that the compressed word problem and the compressed simultaneous conjugacy problem are solvable in polynomial time in hyperbolic groups. In such problems, group elements are input as words defined by straight-line programs defined over a finite generating set for the group. We prove also that, for any infinite hyperbolic group G, the compressed knapsack problem in G is NP-complete.
Derek F. Holt, Markus Lohrey, Saul Schleimer
STACS1
2019 The use of permutation representations in structural computations in large finite matrix groups
John J. Cannon, Derek F. Holt, William R. Unger
J. Symb. Comput.2
2017 Algorithms for polycyclic-by-finite groups
Shavak K. Sinanan, Derek F. Holt
J. Symb. Comput.2
2015 A practical model for computation with matrix groups
Henrik Bäärnhielm, Derek F. Holt, Charles R. Leedham-Green, Eamonn A. O'Brien
J. Symb. Comput.2
2012 Semigroups with a Context-Free Word Problem
Michael Hoffmann 0002, Derek F. Holt, Matthew D. Owens, Richard M. Thomas
Developments in Language Theory2
2005 Computing subgroups of bounded index in a finite group
John J. Cannon, Derek F. Holt, Michael C. Slattery, Allan K. Steel
J. Symb. Comput.2
2004 Computing maximal subgroups of finite groups
John J. Cannon, Derek F. Holt
J. Symb. Comput.2
2003 Automorphism group computation and isomorphism testing in finite groups
John J. Cannon, Derek F. Holt
J. Symb. Comput.2
2001 Computing the Subgroups of a Permutation Group
John J. Cannon, Bruce C. Cox, Derek F. Holt
J. Symb. Comput.3
2000 Computation in word-hyperbolic groups
abstract
There is an important class of finitely presented groups known as automatic groups, in which many computations can be undertaken efficiently. In particular, there is a normal form for group elements which is the language of a finite state automation, and arbitrary words in the group generators can be reduced to normal form in quadratic time. The normal form can also be used to enumerate group elements, and to compute the (rational) growth function of the group. The theory of automatic groups is developed [2], and the algorithms are described in more detail in [4]. Implementations of the algorithms are available in a software package of the author ([3]).
Derek F. Holt
ISSAC1
1999 Computing Automatic Coset Systems and Subgroup Presentations
Derek F. Holt, D. F. Hurt
J. Symb. Comput.1
1997 Computing Sylow Subgroups in Permutation Groups
John J. Cannon, Bruce C. Cox, Derek F. Holt
J. Symb. Comput.3
1997 Computing Chief Series, Composition Series and Socles in Large Permutation Groups
John J. Cannon, Derek F. Holt
J. Symb. Comput.2
1997 Constructing a Representation of the Group
Derek F. Holt, Wilhelm Plesken, Bernd Souvignier
J. Symb. Comput.1
1991 The Use of Knuth-Bendix Methods to Solve the Word Problem in Automatic Groups
David B. A. Epstein, Derek F. Holt, Sarah Rees
J. Symb. Comput.2
1991 The Computation of Normalizers in Permutation Groups
Derek F. Holt
J. Symb. Comput.1
1985 The Mechanical Computation of First and Second Cohomology Groups
Derek F. Holt
J. Symb. Comput.1