GRÖBNER-SHIRSHOV BASES AND NORMAL FORMS OF SOME COXETER GROUPS
The Gröbner-Shirshov bases and normal forms of the finite Coxeter groups of types are computed. Furthermore we are able to convert each element of these groups and the affine Coxeter group type into their normal forms. Hence the groups are complete revealed.
Coxeter groups, permutation groups, Gröbner-Shirshov bases, normal forms, Composition-Diamond lemma.
