ApCoCoA-1:Coxeter groups

From ApCoCoAWiki


The full icosahedral 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:


-the relation mii means: (r_ir_i)^1=1 for all i

-and other generators r_i, r_j commute.

H3 has the following presentation:

H3 = <x,y,z | x^2 = y^2 = z^2 = (xy)^2 = (xz)^2 =(yz)^2 = 1 >


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Example in Symbolic Data Format

<FREEALGEBRA createdAt="2014-07-30" createdBy="strohmeier">