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Homology computations for complex braid groups
Homology computations complex braid groups
2010/11/23
Complex braid groups are the natural generalizations of braid groups associated to arbitrary (finite) complex reflection groups. We investigate several methods for computing the homology of these gro...
A group has a planar Cayley complex if and only if it has a VAP-free Cayley graph
planar Cayley complex VAP-free Cayley graph
2010/11/23
We prove that a group has a planar Cayley complex if and only if it has a Cayley graph that can be embedded in the euclidean plane without accumulation points of vertices.
On a Generalization of the Flag Complex Conjecture of Charney and Davis
Coxeter group Charney-Davis Conjecture Flag Complex Conjecture
2010/11/30
The Flag Complex Conjecture of Charney and Davis states that for a simplicial complex S which triangulates a (2n − 1)-generalized homology sphere as a flag complex one has (−1)nP2S⣵...
Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass
Roots Polynomial Complex Integer Coefficients Replacement Sequences
2010/11/1
The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols in the sequences. T...