Zobrazeno 1 - 10
of 89
pro vyhledávání: '"Bridson, M"'
We prove that there exist finitely presented, residually finite groups that are profinitely rigid in the class of all finitely presented groups but not in the class of all finitely generated groups. These groups are of the form $\Gamma \times \Gamma$
Externí odkaz:
http://arxiv.org/abs/2312.06058
We prove that certain Fuchsian triangle groups are profinitely rigid in the absolute sense, i.e. each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. We also develop a method based on chara
Externí odkaz:
http://arxiv.org/abs/2004.07137
We construct arithmetic Kleinian groups that are profinitely rigid in the absolute sense: each is distinguished from all other finitely generated, residually finite groups by its set of finite quotients. The Bianchi group $\mathrm{PSL}(2,\mathbb{Z}[\
Externí odkaz:
http://arxiv.org/abs/1811.04394
Publikováno v:
Annals of Mathematics, 2020 Nov 01. 192(3), 679-719.
Externí odkaz:
https://www.jstor.org/stable/10.4007/annals.2020.192.3.1
Autor:
Bridson, M. R., Kropholler, P. H.
The paper has three parts. It is conjectured that for every elementary amenable group G and every non-zero commutative ring k, the homological dimension of G over k is equal to the Hirsch length of G whenever G has no k-torsion. In Part I this is pro
Externí odkaz:
http://arxiv.org/abs/1208.1084
We establish lower bounds on the dimensions in which arithmetic groups with torsion can act on acyclic manifolds and homology spheres. The bounds rely on the existence of elementary p-groups in the groups concerned. In some cases, including Sp(2n,Z),
Externí odkaz:
http://arxiv.org/abs/1207.3069
Autor:
Arzhantseva, G., Bridson, M. R., Januszkiewicz, T., Leary, I. J., Minasyan, A., Swiatkowski, J.
Publikováno v:
Geom. Topol. 13 (2009) 1229-1263
We construct finitely generated groups with strong fixed point properties. Let $\mathcal{X}_{ac}$ be the class of Hausdorff spaces of finite covering dimension which are mod-$p$ acyclic for at least one prime $p$. We produce the first examples of inf
Externí odkaz:
http://arxiv.org/abs/0711.4238
Autor:
Bridson, M. R., Groves, D.
If F is a finitely generated free group and \phi is an automorphism of F then the mapping torus of \phi admits a quadratic isoperimetric inequality. This is the third and final paper in a series proving this theorem. The first two were math.GR/021145
Externí odkaz:
http://arxiv.org/abs/math/0610332
Autor:
Bridson, M. R., Riley, T. R.
Publikováno v:
Journal of Algebra, 307(1), pages 171-190, 2007
The filling length of an edge-circuit \eta in the Cayley 2-complex of a finite presentation of a group is the least integer L such that there is a combinatorial null-homotopy of \eta down to a base point through loops of length at most L. We introduc
Externí odkaz:
http://arxiv.org/abs/math/0512162
Autor:
Bridson, M. R., Riley, T. R.
Publikováno v:
Journal of Differential Geometry, 82(1), 115-154, 2009
The diameter of a disc filling a loop in the universal covering of a Riemannian manifold may be measured extrinsically using the distance function on the ambient space or intrinsically using the induced length metric on the disc. Correspondingly, the
Externí odkaz:
http://arxiv.org/abs/math/0511004