University of Durham --- Department of Mathematical Sciences

EPSRC Grant EP/K016687/1 "Topology, Geometry and Laplacians of Simplicial Complexes"

Python programs for matrix computations of groups (F. Bianchi)

The software below allows to do matrix computations with representations of the two infinite groups

Γ = < x0,...,x6 | xi xi+1 xi+3 = Id > and G = < x0,...,x12 | xi3=xi xi+1 xi+3 = Id >

Both groups act transitively on the vertices of Euclidean buildings of type Ã2.
(See Cartwright/Mantero/Steger/Zappa, Geom. Dedicata 47(2), 143-166, 1993.)

Python code to work with a representation of the group Γ by infinite upper triangular Toeplitz matrices.
Matrix
Python code to work with a representation of the group G by infinite upper triangular Toeplitz matrices.
C3

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