The equation xpyq = zr and groups that act freely on Λ-trees

It was established in [7] that a finitely generated hyper(abelian-by-finite) group in which every two generator subgroup is supersoluble is itself super- soluble, while our

The goal of this section is to prove upper and lower bounds on the diameters of modular flip graphs in terms of the topology of the surface (namely Theorem 1.4 from the

We attach with every finite, involutive, nondegenerate set-theoretic solution of the Yang–Baxter equation a finite group that plays for the associ- ated structure group the role that

As we saw in the proof of Proposition 32, it suffices to study the subsystems obtained from equation (34) that correspond to the orbits of the action of conjugation by δ.. This

be proved by the methods of [3]. There we proved only the topological equivalence of the action to the orthogonal one given by r, and left the remainder of the proof

Then for any finite index normal subgroup H ⊂ π 1 (X y ) and character χ of the quotient, the identity component of the Zariski closure of the image of τ H,χ ◦ ρ is semisimple

In the next section we will establish Hrushovski’s Lie Model Theorem (Theo- rem 3.10), in which an ultra approximate group is related first to a locally compact... metrisable

1. Goxeter, Shephard and Artin groups. Local deformation theory of representations. The correspondence between projective reflections and their fixed points. Commuting and