Publications and Preprints
Alexander Hulpke
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), 735--758
(Official: http://dx.doi.org/10.1016/j.jpaa.2015.07.014)
- Constructing All Composition Series of a Finite Group
- Proc. ISSAC 2015, 229--234
- Algorithms for arithmetic groups with the congruence subgroup property
- Joint work with Alla Detinko and Dane Flannery,
Journal of Algebra 421 (2015), 234--259 (Official: http://dx.doi.org/10.1016/j.jalgebra.2014.08.027)
- Software for groups: theory and practice
- Mathematical software -- ICMS 2014, 87--91. (Official: http://link.springer.com/chapter/10.1007/978-3-662-44199-2_15)
- Aristotle's problem
- Joint work with Victor Pambuccian,
Beiträge zur Algebra und Geometrie (2014), (official: http://dx.doi.org/10.1007/s13366-014-0209-3
- 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 Trivial-Fitting Group
- ISSAC 2013
- Computing Generators of Groups preserving a Bilinear Form over Residue Class
Rings
- J.Symb.Comp. 50 (2013), 298-307 (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), 1197-1219
- Polytopes derived from sporaic simple groups
-
Joint work with Michael Hartley,
Contributions to Discrete Mathematics 5:2, 106-118
- 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), 45-55
- Constructing Transitive Permutation Groups
- J. Symb. Comp. 39 (2005), 1-30.
- Total Ordering on Subgroups and Cosets
- Joint work with Steve Linton.
Proc. ISSAC 2003, 156-160
(© Copyright
YYYY by ACM, Inc.)
- Short Presentations for Three-Dimensional
Unitary Groups
- Joint work with Ákos Seress.
Journal of Algebra, 245 (2001), 719--729
(CMP 1863898)
- Representing subgroups of finitely
presented groups by Quotient Subgroups
- Experimental Mathematics
10 (2001), no.3, 369-381.
- Efficient Simple Groups
- Joint work with Colin Campbell, George Havas and Edmund Robertson.
Comm.Alg.,31 (2003), no. 10, 5191--5197
(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 155-168.
(MR 2002e-20009)
- Conjugacy classes in finite
permutation groups via homomorphic images
- Math.Comp. 69 (2000), 1633-1651.
(MR 2001a-20006)
- Computing subgroups invariant
under a set of automorphisms
- J. Symb. Comp. 27 (1999), 415-427. (MR
2000a-20001)
- 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 65-77. Springer, Heidelberg,
1999. (MR
2000d-12001)
- Galois groups through invariant
relations
- Proc. Groups'97. (MR
2000k-12002)
- Construction of Co3. An
example of the use of a CGT system
- Joint work with Steve Linton.
Proc. Groups'97. (MR
2000k-12002)
- On transitive permutation
groups
- Joint work with John Conway and John McKay.
LMS J. Comput. Math.,
1 (1998), 1-8. (MR
99g-20011)
- Block
systems of a Galois group
- Experimental Mathematics
4 (1995), no.1, 1-9. (MR
96k-12007)
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
)