# ApCoCoA-1:Coxeter groupsH

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Revision as of 14:57, 25 August 2014 by StrohmeierB (talk | contribs) (New page: === <div id="Coxeter_groups">Coxeter Group H4</div> === ==== Description ==== The H4 group is a Coxeter group. Their relations results of a Matri...)

#### 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:

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

#### Reference

not found yet