6 citations · 14 across the 16 of their papers we have counts for
17 papers
A Brown Theorem for Dehn functions of graphs of groups
Claudio Llosa Isenrich, Jannis Weis
We prove an upper bound on the Dehn function of a group acting cellularly, cocompactly, and without inversions on a simply connected CW complex in terms of the Dehn functio…
Infinitely presented simple groups separated by homological finiteness properties
Claudio Llosa Isenrich, Eduard Schesler, Xiaolei Wu
Given a finitely generated linear group over , we construct a simple group that has the same finiteness properties as and admits as a quasi-retract. As…
measure equivalence of nilpotent groups
Thiebout Delabie, Claudio Llosa Isenrich, Romain Tessera
We classify compactly generated locally compact groups of polynomial growth up to measure equivalence (ME) for all . To achieve this, we combine rigidity results (pr…
Dehn functions of subgroups of products of free groups. Part II: Precise computations
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
We prove that the Bridson-Dison group has quartic Dehn function, thereby providing the first precise computation of the Dehn function of a subgroup of a direct product of free grou…
Profinite rigidity of Kähler groups: Riemann surfaces and subdirect products
Sam Hughes, Claudio Llosa Isenrich, Pierre Py +2
This paper establishes strong profinite rigidity results for Kähler groups, showing that certain groups are determined within the class of residually finite Kähler groups by their…
Explicit polynomial bounds on Dehn functions of subgroups of hyperbolic groups
Robert Kropholler, Claudio Llosa Isenrich, Ignat Soroko
In 1999 Brady constructed the first example of a non-hyperbolic finitely presented subgroup of a hyperbolic group by fibring a non-positively curved cube complex over the circle. W…
Subgroups of CAT(0) groups, exotic finiteness properties and non-QI-embeddings into linear groups
Claudio Llosa Isenrich, Konstantinos Tsouvalas
For every positive integer we construct an example of a subgroup of a linear group such that is of finiteness type and not $\m…
On the Boone--Higman Conjecture for groups acting on locally finite trees
Kai-Uwe Bux, Claudio Llosa Isenrich, Xiaolei Wu
We develop a method for proving the Boone--Higman Conjecture for groups acting on locally finite trees. As a consequence, we prove the Boone--Higman Conjecture for all Baumslag--So…
Dehn functions of subgroups of products of free groups. Part I: Uniform upper bounds
Dario Ascari, Federica Bertolotti, Giovanni Italiano +2
Subgroups of direct products of finitely many finitely generated free groups form a natural class that plays an important role in geometric group theory. Its members include fundam…
From the second BNSR invariant to Dehn functions of coabelian subgroups
Claudio Llosa Isenrich
Given a finitely presented group and a surjective homomorphism with finitely presented kernel , we give an upper bound on the Dehn function of in ter…
On the Dehn functions of central products of nilpotent groups
Jerónimo García-Mejía, Claudio Llosa Isenrich, Gabriel Pallier
We determine the Dehn functions of central products of two families of filiform nilpotent Lie groups of arbitrary dimension with all simply connected nilpotent Lie groups with cycl…
Finitely presented kernels of homomorphisms from hyperbolic groups onto free abelian groups
Robert Kropholler, Claudio Llosa Isenrich
For every we produce an example of a non-hyperbolic finitely presented subgroup of a hyperbolic group , which is the kernel of a surjective homomorphism $ϕ: G\…
Hyperbolic groups containing subgroups of type not
Claudio Llosa Isenrich, Bruno Martelli, Pierre Py
We give examples of hyperbolic groups which contain subgroups that are of type but not of type . These groups are obtained by Dehn filling starti…
On the Dehn functions of Kähler groups
Claudio Llosa Isenrich, Romain Tessera
We address the problem of which functions can arise as Dehn functions of Kähler groups. We explain why there are examples of Kähler groups with linear, quadratic, and exponential D…
Complex hypersurfaces in direct products of Riemann surfaces
Claudio Llosa Isenrich
We study smooth complex hypersurfaces in direct products of closed hyperbolic Riemann surfaces and give a classification in terms of their fundamental groups. This answers a questi…
Branched covers of elliptic curves and Kähler groups with exotic finiteness properties
Claudio Llosa Isenrich
We construct Kähler groups with arbitrary finiteness properties by mapping products of closed Riemann surfaces holomorphically onto an elliptic curve: for each , we obtain…
Finite presentations for Kähler groups with arbitrary finiteness properties
Claudio Llosa Isenrich
We construct the first explicit finite presentations for a family of Kähler groups with arbitrary finiteness properties, answering a question of Suciu.