Results 11 to 20 of about 2,618 (40)

New directions in Nielsen-Reidemeister theory [PDF]

open access: yes, 2008
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

open access: yes, 2013
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]

open access: yes, 2010
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

open access: yes, 2015
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]

open access: yes, 2010
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  

Free augmented LD-systems

open access: yes, 2005
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

open access: yes, 2003
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

open access: yes, 2019
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

open access: yes, 2006
We give an overview of approximation properties in the context of operator algebras associated with ...
Brodzki, Jacek, Niblo, Graham A.
core  

Black Box White Arrow

open access: yes, 2014
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  

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