Zobrazeno 1 - 10
of 924
pro vyhledávání: '"20J05"'
Autor:
Linton, Marco
In this article we study the following problem: given a chain complex $A_*$ of free $\mathbb{Z}G$-modules, when is $A_*$ isomorphic to the cellular chain complex of some simply connected $G$-CW-complex? Such a chain complex is called realisable. Wall
Externí odkaz:
http://arxiv.org/abs/2412.17057
Autor:
Bargagnati, Giuseppe, Bogliolo, Elena
We prove the vanishing of bounded cohomology of the groups acting on trees with almost prescribed local actions $G(F, F')$, where $F
Externí odkaz:
http://arxiv.org/abs/2412.15463
Autor:
Margolis, Alexander
Inspired by group cohomology, we define several coarse topological invariants of metric spaces. We define the coarse cohomological dimension of a metric space, and demonstrate that if G is a countable group, then the coarse cohomological dimension of
Externí odkaz:
http://arxiv.org/abs/2411.04745
Using methods of associative algebras, Lie theory, group cohomology, and modular representation theory, we construct profinite $p$-adic analytic groups such that the centralizer of each of their non-trivial elements is abelian. The paper answers ques
Externí odkaz:
http://arxiv.org/abs/2411.03880
Autor:
Kudlinska, Monika
We define a new notion of splitting complexity for a group $G$ along a non-trivial integral character $\phi \in H^1(G; \mathbb{Z})$. If $G$ is a one-ended coherent right-angled Artin group, we show that the splitting complexity along an epimorphism $
Externí odkaz:
http://arxiv.org/abs/2411.02516
Autor:
Bova, Marco Praderio
We study the D\'iaz-Park sharpness conjecture for fusion systems and prove that, under certain circumstances, there exists a 4 terms exact sequence relating the first two higher limits of the contravariant part of a Mackey functor over certain fusion
Externí odkaz:
http://arxiv.org/abs/2411.01352
Autor:
Gadish, Nir
We determine the 0-th Hochschild homology of the associative algebra of simplicial cochains valued in a PID: it consists of the ``finite-type" homotopy invariants of free loops, equivalently finite-type class functions on the fundamental group. One m
Externí odkaz:
http://arxiv.org/abs/2410.14188
Autor:
Fisher, Sam P, Klinge, Kevin
We give a description of the Linnell division ring of a countable residually (poly-$\mathbb Z$ virtually nilpotent) (RPVN) group in terms of a generalised Novikov ring, and show that vanishing top-degree cohomology of a finite type group $G$ with coe
Externí odkaz:
http://arxiv.org/abs/2410.08153
Autor:
Marchionna, Bianca
We study the double-coset zeta functions for groups acting on trees, focusing mainly on weakly locally $\infty$-transitive or (P)-closed actions. After giving a geometric characterisation of convergence for the defining series, we provide explicit de
Externí odkaz:
http://arxiv.org/abs/2409.01860
Autor:
Miller, Alistair, Steinberg, Benjamin
Nekrashevych associated to each self-similar group action an ample groupoid and a C*-algebra. We provide exact sequences to compute the homology of the groupoid and the K-theory of the C*-algebra in terms of the homology of the group and K-theory of
Externí odkaz:
http://arxiv.org/abs/2409.02359