| A note on Nielsen reduction and coset enumeration |
| Full text |
Pdf
(285 KB)
|
| Source
|
International Conference on Symbolic and Algebraic Computation
archive
Proceedings of the 1998 international symposium on Symbolic and algebraic computation
table of contents
Rostock, Germany
Pages: 171 - 178
Year of Publication: 1998
ISBN:1-58113-002-3
|
|
Authors
|
|
Birgit Reinert
|
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
|
|
Klaus Madlener
|
Universität Kaiserslautern, 67663 Kaiserslautern, Germany
|
|
Teo Mora
|
DISI, Via Dodecaneso, 35, 16146 Genova, Italy
|
|
| Sponsors |
|
| Publisher |
|
| Bibliometrics |
Downloads (6 Weeks): 9, Downloads (12 Months): 23, Citation Count: 1
|
|
|
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
M. E. Alonso et al.. The Big Mother of All the Dualities. Draft, 1995.
|
| |
2
|
|
| |
3
|
|
| |
4
|
|
| |
5
|
M. A. Borges and M. Borges. Gr5bner bases property on elimination ideal in the noncommutative case. In B. Buchberger and F. Winkler, editors, GrSbner Bases and Applications (Proc. of the Conference 33 Years of GrSbner Bases), volume 251 of London Mathematical Society Lecture Notes Series, pages 323-337. Cambridge University Press, 1998.
|
| |
6
|
B. Buchberger. Ein Algorithmus zum Auf-finden der Basiselemente des Restklassenrings nach einem nulldimensionalen Polynomideal. PhD thesis, Universit~t Innsbruck, 1965.
|
| |
7
|
|
| |
8
|
|
| |
9
|
G. Hermann. Die Frage der endlich vielen Schritte in der Theorie der Polynomideale. Mathematische Annalen, 95:737-788, 1926.
|
| |
10
|
D. L. Johnson. Presentation of Groups. Cambridge University Press, 1976.
|
| |
11
|
D. Knuth and P. Bendix. Simple word problems in universal algebras. In J. Leech, editor, Computational Problems in Abstract Algebra, pages 263-297. Pergamon Press, Oxford, 1970.
|
| |
12
|
N. Kuhn, K. Madlener, and F. Otto. Computing presentations for subgroups of polycyclic groups and of context-free groups. Applicable Algebra in Engineering, Communication and Computing, 5:287-316, 1994.
|
| |
13
|
R. C. Lyndon and P. E. Schupp. Combinatorial Group Theory. Springer, 1977.
|
 |
14
|
|
| |
15
|
K. Madlener and B. Reinert. String rewriting and GrSbner bases- a general approach to monoid and group rings. In Proceedings of the Workshop on Symbolic Rewriting Techniques, Monte Verita, 1995, pages 127-180. Birkh~user, 1998.
|
| |
16
|
|
| |
17
|
S. Margolis, J. Meakin, and M. Sapir. Algorithmic problems in groups, semigroups and inverse monoids. In J. Fountain, editor, Semigroups, Formal Languages and Groups, pages 147-214. Kluwer Academic Press, 1993.
|
| |
18
|
M. G. Marinari, H. M. MSller, and T. Mora. GrSbner bases of ideals defined by functionals with an application to ideals of projective points. Applicable Algebra in Engineering, Communication and Computing, 4:103- 145, 1993.
|
| |
19
|
T. Mora. GrSbner bases and the word problem. Genova, 1987.
|
| |
20
|
J. Neubiiser. An elementary introduction to coset table methods in computational group theory. In C. M. Campbell and E. F. Robertson, editors, Groups St. Andrews 1981, L.M.S. Lecture Notes 71, pages 1-45. Cambridge University Press, 1982.
|
| |
21
|
J. Nielsen. Om Regning reed ikke kommutative Faktoren og dens Anvendelse i Gruppeteorien. Mat. Tidsskr. B., pages 77-94, 1921.
|
| |
22
|
B. Reinert. On GrSbner Bases in Monoid and Group Rings. PhD thesis, Universit~t Kaiserslautern, 1995.
|
| |
23
|
C. Sims. Computation with Finitely Presented Groups. Cambridge University Press, 1994.
|
| |
24
|
J. Todd and H. Coxeter. A practical method for enumerating cosets of a finite abstract group. In Proc. Edinburgh Math. Soc., volume 5, pages 26-34, 1936.
|
|