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
- On orbifold coverings of genus 2
surfaces
- Joint work with Tapani Kuusalo, Marjatta N\"a\"at\"anen
and Gerhard Rosenberger.
To appear in Revista Scientia.
- 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)