Complete Presentations of Direct Products of Groups
- Complete presentations provide a natural solution to the word problem in monoids and groups. Here we give a simple way to construct complete presentations for the direct product of groups, when such presentations are available for the factors. Actually, the construction we are referring to is just the classical construction for direct products of groups, which has been known for a long time, but whose completeness-preserving properties had not been detected. Using this result and some known facts about Coxeter groups, we sketch an algorithm to obtain the complete presentation of any finite Coxeter group. A similar application to Abelian and Hamiltonian groups is mentioned.
Verfasser*innenangaben: | Miguel Borges-Trenard, Hebert Perez-Roses |
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URN: | urn:nbn:de:hbz:386-kluedo-7632 |
Schriftenreihe (Bandnummer): | Reports on Computer Algebra (ZCA Report) (24) |
Dokumentart: | Preprint |
Sprache der Veröffentlichung: | Englisch |
Jahr der Fertigstellung: | 1999 |
Jahr der Erstveröffentlichung: | 1999 |
Veröffentlichende Institution: | Technische Universität Kaiserslautern |
Datum der Publikation (Server): | 11.11.1999 |
Freies Schlagwort / Tag: | Abelian groups; Coxeter groups; Hamiltonian groups; Word problem; complete presentations; direct product |
Fachbereiche / Organisatorische Einheiten: | Kaiserslautern - Fachbereich Mathematik |
DDC-Sachgruppen: | 5 Naturwissenschaften und Mathematik / 510 Mathematik |
Lizenz (Deutsch): | Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011 |