Zobrazeno 1 - 10
of 332
pro vyhledávání: '"WEIGEL, THOMAS"'
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
In several instances, the invariants of compactly generated totally disconnected locally compact groups acting on locally finite buildings can be conveniently described via invariants of the Coxeter group representing the type of the building. For ce
Externí odkaz:
http://arxiv.org/abs/2408.15716
For a unimodular totally disconnected locally compact group $G$ we introduce and study an analogue of the Hattori-Stallings rank $\tilde{\rho}(P)\in\mathbf{h}_G$ for a finitely generated projective rational discrete left $\mathbb Q[G]$-module $P$. He
Externí odkaz:
http://arxiv.org/abs/2405.08105
For a prime number $\ell$ we introduce and study oriented right-angled Artin pro-$\ell$ groups $G_{\Gamma,\lambda}$(oriented pro-$\ell$ RAAGs for short) associated to a finite oriented graph $\Gamma$ and a continuous group homomorphism $\lambda\colon
Externí odkaz:
http://arxiv.org/abs/2304.08123
In this note we give an introduction to Drinfel'd's associator coming from the Knizhnik-Zamolodchikov connections and a self-contained proof of the hexagon and pentagon equations by means of minimal amounts of analysis or differential geometry: we ra
Externí odkaz:
http://arxiv.org/abs/2304.07012
Given a finite group $G$, we say that $G$ has weak normal covering number $\gamma_w(G)$ if $\gamma_w(G)$ is the smallest integer with $G$ admitting proper subgroups $H_1,\ldots,H_{\gamma_w(G)}$ such that each element of $G$ has a conjugate in $H_i$,
Externí odkaz:
http://arxiv.org/abs/2208.08756
Autor:
Ershov, Mikhail, Weigel, Thomas
Let $F$ be a $p$-adic field, that is, a finite extension of $\mathbb Q_p$. Let $D$ be a finite-dimensional central division algebra over $F$ and let $SL_1(D)$ be the group of elements of reduced norm $1$ in $D$. Prasad and Raghunathan proved that $H^
Externí odkaz:
http://arxiv.org/abs/2206.12775
It is shown that a Stallings--Swan theorem holds in a totally disconnected locally compact (= t.d.l.c.) context (cf. Thm. B). More precisely, a compactly generated $\mathcal{CO}$-bounded t.d.l.c. group $G$ of rational discrete cohomological dimension
Externí odkaz:
http://arxiv.org/abs/2201.10847
Autor:
Verme, Giulia dal, Weigel, Thomas
In this paper a Bass-Serre theory in the groupoid setting is developed and a structure theorem is established. Any groupoid action without inversion of edges on a forest induces a graph of groupoids, while any graph of groupoids satisfying certain hy
Externí odkaz:
http://arxiv.org/abs/2107.09576