66 citations · 383 across the 79 of their papers we have counts for
92 papers
Conjugator length in finitely presented groups
Martin R. Bridson, Timothy R. Riley, Andrew W. Sale
The conjugator length function of a finitely generated group gives the minimal upper bound on the length of a conjugator for a pair of words that represent conjugate elements i…
Snowflake groups and conjugator length functions with non-integer exponents
Martin R. Bridson, Timothy R. Riley
We exhibit novel geometric phenomena in the study of conjugacy problems for discrete groups. We prove that the snowflake groups , indexed by pairs of positive integers $p>q…
Groups with fast-growing conjugator length functions
Martin R. Bridson, Timothy R. Riley
We construct the first examples of finitely presented groups whose conjugator length function is exponential; these are central extensions of groups of the form . F…
Relatively hyperbolic groups, Grothendieck pairs, and uncountable profinite ambiguity among fibre products
Martin R. Bridson, Alan W. Reid
These notes expand upon our lectures on {\em profinite rigidity} at the international colloquium on randomness, geometry and dynamics, organised by TIFR Mumbai at IISER Pune in Jan…
Conjugacy in fibre products, distortion, and the geometry of cyclic subgroups
Martin R Bridson
We investigate the complexity of the conjugacy problem for fibre products in torsion-free hyperbolic groups. Let be a torsion-free hyperbolic group and let be the…
On the conjugacy problem for subdirect products of hyperbolic groups
Martin R. Bridson
If and are torsion-free hyperbolic groups and is a finitely generated subdirect product, then the conjugacy problem in is solvable if and only if…