Results 11 to 20 of about 2,618 (40)
New directions in Nielsen-Reidemeister theory [PDF]
The purpose of this expository paper is to present new directions in the classical Nielsen-Reidemeister fixed point theory. We describe twisted Burnside-Frobenius theorem, groups with $R_\infty$ \emph{property} and a connection between Nielsen fixed ...
Fel'shtyn, Alexander
core
Quasi-isometric maps and Floyd boundaries of relatively hyperbolic groups
International audienceWe describe the kernel of the canonical map from the Floyd boundary of a relatively hyperbolic group to its Bowditch boundary. Using the Floyd completion we further prove that the property of relative hyperbolicity is invariant ...
Gerasimov, V., Potyagailo, L.
core +2 more sources
Bernoulli measure on strings, and Thompson-Higman monoids [PDF]
The Bernoulli measure on strings is used to define height functions for the dense R- and L-orders of the Thompson-Higman monoids M_{k,1}. The measure can also be used to characterize the D-relation of certain submonoids of M_{k,1}.
Birget, Jean-Camille
core
Word maps in Kac-Moody setting
The paper is a short survey of recent developments in the area of word maps evaluated on groups and algebras.
Klimenko, Elena +3 more
core
Limits of Baumslag-Solitar groups and dimension estimates in the space of marked groups [PDF]
We prove that the limits of Baumslag-Solitar groups which we previously studied are non-linear hopfian C*-simple groups with infinitely many twisted conjugacy classes.
Guyot, Luc, Stalder, Yves
core
Define an augmented LD-system, or ALD-system, to be a set equipped with two binary operations, one satisfying the left self-distributivity law $x * (y * z) = (x * y) * (x * z)$ and the other satisfying the mixed laws $(x o y) * z = x * (y * z)$ and $x * (
Dehornoy, Patrick
core +1 more source
Assessing security of some group based cryptosystems
One of the possible generalizations of the discrete logarithm problem to arbitrary groups is the so-called conjugacy search problem (sometimes erroneously called just the conjugacy problem): given two elements a, b of a group G and the information that a^
Shpilrain, Vladimir
core +1 more source
Hierarchies and semistability of relatively hyperbolic groups
A finitely presented group is semistable if all proper rays in the Cayley 2-complex are properly homotopic. A long standing open question asks whether all finitely presented groups are semistable.
Hruska, G. Christopher, Ruane, Kim
core
Approximation properties for discrete groups
We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core
The present paper proposes a new and systematic approach to the so-called black box group methods in computational group theory. Instead of a single black box, we consider categories of black boxes and their morphisms. This makes new classes of black box
Borovik, Alexandre +1 more
core

