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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...
Experimenting with Transitive Verbs in a DisCoCat
Transitive Verbs DisCoCat Experimenting Category Theory
2011/10/8
Abstract: Formal and distributional semantic models offer complementary benefits in modeling meaning. The categorical compositional distributional (DisCoCat) model of meaning of Coecke et al. (arXiv:1...
On the base size of a transitive group with solvable point stabilizer
the base size transitive group
2010/11/23
We prove that the base size of a transitive group $G$ with solvable point stabilizer is not greater than $k$ provided the same statement holds for every group of $G$-induced automorphisms of each nona...
Topological transitive Abelian subgrouns of GL(n,R)
Topological Abelian subgrouns of GL(n,R)
2010/11/8
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is explicit and it is used...
Barely Transitive Groups
Locally finite group barely transitive group infinite permutation group
2010/2/26
This is a survey article on barely transitive groups. It also involves some recent results in the case of a non-locally finite barely transitive group.
B. Hartley asked the following question: Does there exist a torsion free barely transitive group? Existence of torsion free simple barely transitive group is also unknown. We answer the latter questio...
Locally Finite Barely Transitive Permutation Group with Almost Nilpotent Point Stabilizers
Transitive Permutation Group Nilpotent Point Stabilizers
2010/3/5
We show that the groups mentioned in the title are solvable. Moreover, a point stabilizer H of the locally finite barely transitive group G is almost nilpotent, whenever the indices |H : H \cap Hg| (g...