TY - INPR
A1 - Borges-Trenard, Miguel
A1 - Perez-Roses, Hebert
T1 - Complete Presentations of Direct Products of Groups
N2 - 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.
T3 - Reports on Computer Algebra (ZCA Report) - 24
KW - Word problem
KW - complete presentations
KW - direct product
KW - Coxeter groups
KW - Abelian groups
KW - Hamiltonian groups
Y1 - 1999
UR - https://kluedo.ub.uni-kl.de/frontdoor/index/index/docId/794
UR - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:hbz:386-kluedo-7632
ER -