Triangle group

Known as: Triangle groups, Triangular group, Von Dyck group

In mathematics, a triangle group is a group that can be realized geometrically by sequences of reflections across the sides of a triangle. The…

Papers overview

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2016

In the paper we present a characterization theorem of the Riesz measure and a Wishart exponential family on homogeneous cones…

2015

2014

The random triangular group $\Gamma(n,p)$ is the group given by a random group presentation with $n$ generators in which every…

2005

We present two new formulas concerning behaviors of the standard parameters of the Grothendieck-Teichmuller group \( \widehat{GT…

2000

Let A(2,3,7) tlcuotc the i~lfi~lite ria~lgle group, defined by the presentation (X, Y I X Z = Y 3 = (XY) ' = 1). A non-trivial…

1997

A long standing conjecture (attributed to Graham Higman) asserts that each of the triangle groups △(p,q,r)for 1/p+1/q+1/r>1…

1996

Here k is an arbitrary real number (the weight) and λ > 2, but otherwise unrestricted. The proof entails the use of the Riemann…

1995

. We complete the classification of those generalized triangle groups that are finite.

1994

1971

Certain torsion-free subgroups of various triangle groups are considered, the proof of their existence, and in some cases their…