Publications and Preprints
Alexander Hulpke
For portability and readability most of the newer
files are provided in PDF format.
(You
can download the free Acrobat Reader software here.)
Paper
 Translating MAGMA code to GAP
 Computeralgebra Rundbrief 58, 2016
 Connected quandles and transitive groups

Joint work with David Stanovsk\'y, Petr Vojt\v{e}chovsk\'y,
Journal of Pure
and Applied Algebra, 220 (2016), 735758
(Official: http://dx.doi.org/10.1016/j.jpaa.2015.07.014)
 Constructing All Composition Series of a Finite Group
 Proc. ISSAC 2015, 229234
 Algorithms for arithmetic groups with the congruence subgroup property
 Joint work with Alla Detinko and Dane Flannery,
Journal of Algebra 421 (2015), 234259 (Official: http://dx.doi.org/10.1016/j.jalgebra.2014.08.027)
 Software for groups: theory and practice
 Mathematical software  ICMS 2014, 8791. (Official: http://link.springer.com/chapter/10.1007/9783662441992_15)
 Aristotle's problem
 Joint work with Victor Pambuccian,
Beiträge zur Algebra und Geometrie (2014), (official: http://dx.doi.org/10.1007/s1336601402093
 Computing Conjugacy Classes of elements in matrix groups
 J. Algebra 2013 (official: http://dx.doi.org/10.1016/j.jalgebra.2013.02.043)
 Calculation of the Subgroups of a TrivialFitting Group
 ISSAC 2013
 Computing Generators of Groups preserving a Bilinear Form over Residue Class
Rings
 J.Symb.Comp. 50 (2013), 298307 (official: http://dx.doi.org/10.1016/j.jsc.2012.08.002)
 Computing Hall subgroups of finite groups
 Joint work with Bettina Eick
LMS J. Comput. Math. 15 (2012), 205–218
 The Tits Alternative for Short Generalized Tetrahedron Groups
 Joint work with Benjamin Fine, Volkmar große Rebel, Gerhard Rosenberger and Stefanie Schauerte
Revista Scientia, 21 (2011), 1–15
 The number of Latin squares of order 11

Joint work with PetteriKaski and Patric R.J. Östergård,, Math.Comp. 80 (2011), 11971219
 Polytopes derived from sporaic simple groups

Joint work with Michael Hartley,
Contributions to Discrete Mathematics 5:2, 106118
 Normalizer Calculation using automorphisms
 Computational Group Theory and the Theory of Groups, Contemp.Math.470 (2008), p.105–109
 The Tits Alternative for Spherical Generalized Tetrahedron Groups
 Joint work with
Benjamin Fine,Volkmar große Rebel and GerhardRosenberger,
Algebra Colloquium, 15:4 (2008) 541–554
 All Finite Generalized Tetrahedron Groups
 Joint work with Benjamin Fine, Miriam Hahn, Volkmar große Rebel, Gerhard Rosenberger and
Martin Scheer,
Algebra Colloquium, 15:4 (2008) 555– 580
 On orbifold coverings of genus 2
surfaces
 Joint work with Tapani Kuusalo, Marjatta N\"a\"at\"anen
and Gerhard Rosenberger.
Revista Scientia 11 (2005), 4555
 Constructing Transitive Permutation Groups
 J. Symb. Comp. 39 (2005), 130.
 Total Ordering on Subgroups and Cosets
 Joint work with Steve Linton.
Proc. ISSAC 2003, 156160
(© Copyright
YYYY by ACM, Inc.)
 Short Presentations for ThreeDimensional
Unitary Groups
 Joint work with Ákos Seress.
Journal of Algebra, 245 (2001), 719729
(CMP 1863898)
 Representing subgroups of finitely
presented groups by Quotient Subgroups
 Experimental Mathematics
10 (2001), no.3, 369381.
 Efficient Simple Groups
 Joint work with Colin Campbell, George Havas and Edmund Robertson.
Comm.Alg.,31 (2003), no. 10, 51915197
(MR 2003i:20023)
 Computing the maximal subgroups
of a permutation group I
 Joint work with Bettina Eick.
W. Kantor and Á. Seress, editors,
Groups and Computation III, pages 155168.
(MR 2002e20009)
 Conjugacy classes in finite
permutation groups via homomorphic images
 Math.Comp. 69 (2000), 16331651.
(MR 2001a20006)
 Computing subgroups invariant
under a set of automorphisms
 J. Symb. Comp. 27 (1999), 415427. (MR
2000a20001)
 Computing normal subgroups
 Proc. ISSAC '98. (CMP
1 805 183)
(© Copyright
YYYY by ACM, Inc.)
 Techniques for the computation of
Galois groups
 B.H. Matzat, G.M. Greuel, and G.Hiss, editors, Algorithmic
Algebra and Number Theory, pages 6577. Springer, Heidelberg,
1999. (MR
2000d12001)
 Galois groups through invariant
relations
 Proc. Groups'97. (MR
2000k12002)
 Construction of Co3. An
example of the use of a CGT system
 Joint work with Steve Linton.
Proc. Groups'97. (MR
2000k12002)
 On transitive permutation
groups
 Joint work with John Conway and John McKay.
LMS J. Comput. Math.,
1 (1998), 18. (MR
99g20011)
 Block
systems of a Galois group
 Experimental Mathematics
4 (1995), no.1, 19. (MR
96k12007)
Theses
 Konstruktion
transitiver Permutationsgruppen
 My PhD Thesis. RWTH Aachen 1996.
 Zur Berechnung von
Charaktertafeln
 My Diploma Thesis. RWTH Aachen 1993.
Software
and Documentation
I'm one of the main authors of the computer algebra system
GAP
 GAP
4.
 Link to the GAP web page in
St Andrews. From here you can download the system or get more
information.
 GAP 4
Tutorial
 Given at ISSAC 2000.
Varia
Suggestion
of a format for a library of sporadic groups
 1994. (This is probably outdated by now, but as there are
references to this, I keep it here)
 GAP 3 interface for this library
 1994
Legalese
The documents contained in this directory are
included by the contributing authors as a means to ensure timely
dissemination of scholarly and technical work only on a non commercial
basis. Copyright and all rights therein are maintained by the
authors or by other copyright holders, notwithstanding that they
have offered there works here electronically. It is understood
that all persons copying this information will adhere to the terms
and constraints invoked by each author's copyright. These works
may not be reposted without the explicit permission of the copyright
holder.
Alexander Hulpke (hulpke@math.colostate.edu
)