ApCoCoA-1:Coxeter groupsH
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Description
The H4 group is a Coxeter group. Their relations results of a Matrix, the Coxetermatrix. The Matrix with i lines and j columns gives the following relations:
<r_1,...,r_n|(r_ir_j)^m_ij
-the relation mii means: (r_ir_i)^1=1 for all i
-and other generators r_i, r_j commute.
H4 has the following presentation:
H4 = <v,x,y,z | v^2 = x^2 = y^2 = z^2 = (vx)^5 =(vy)^2 = (vz)^2 =(xy)^3 = (xz)^2 =(yz)^3 = 1>
Reference
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