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Local rigidity of discrete groups acting on complex hyperbolic space
complex hyperbolic space Local rigidity
2015/9/29
The superrigidity theorem of Margulis, see Zimmer [17], classifies finite dimen-sional representations of lattices in semi-simple Lie groups of real rank strictly
larger than 1. It is a fundamental ...
Amenable, transitive and faithful actions of groups acting on trees
Amenable transitive faithful actions groups trees
2012/3/1
We study under which condition an amalgamated free product or an HNN-extension over a finite subgroup admits an amenable, transitive and faithful action on an infinite countable set. We show that such...
Generalised quadrangles with a group of automorphisms acting primitively on points and lines
Generalised quadrangle primitive permutation group Combinatorics
2011/9/15
Abstract: We show that if G is a group of automorphisms of a thick finite generalised quadrangle Q acting primitively on both the points and lines of Q, then G is almost simple. Moreover, if G is also...
Groups acting simply transitively on hyperbolic buildings
Groups hyperbolic buildings Group Theory
2011/9/14
Abstract: We construct and classify all groups acting simply transitively on vertices of hyperbolic triangular buildings of the smallest non-trivial thickness. We have both torsion and torsion free gr...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Abstract: Groups acting freely on Z^n-trees (Z^n-free groups) play a key role in the study of non-archimedean group actions. Following Stallings' ideas, we develop graph-theoretic techniques to invest...
Unitary and Non-Unitary Matrices as a Source of Different Bases of Operators Acting on Hilbert Spaces
finite-dimensional Hilbert space basis of operators star-product scheme
2011/3/4
Columns of d2 ×N matrices are shown to create different sets of N operators acting on d-dimensional Hilbert space.
Local Quasiconvexity of Groups acting on Small Cancellation Complexes
Local quasiconvexity Coherence Small-cancellation Relative hyperbolicity
2010/12/8
Given a group acting cellularly and cocompactly on a simply-connected 2-complex, we provide a criterion establishing that all finitely generated subgroups have quasiconvex orbits. This work generalize...
Completely Metrisable Groups Acting on Trees
Completely metrisable groups Locally compact groups Actions on trees
2010/12/15
We consider actions of completely metrisable groups on simplicial trees in the context of the Bass–Serre theory. Our main result characterises continuity of the amplitude function corresponding to a g...