GRÖBNER—SHIRSHOV BASES AND NORMAL FORMS FOR THE COXETER GROUPS E6 AND E7
In this paper, Gröbner—Shirshov bases and normal forms of elements for the Coxeter groups E6 and E7 are found. These results support the conjecture in [4] about the general form of Gröbner—Shirshov bases for all Coxeter groups.