Zobrazeno 1 - 10
of 17
pro vyhledávání: '"Steffen Kionke"'
Publikováno v:
Forum of Mathematics, Sigma, Vol 8 (2020)
We prove that the sign of the Euler characteristic of arithmetic groups with the congruence subgroup property is determined by the profinite completion. In contrast, we construct examples showing that this is not true for the Euler characteristic its
Externí odkaz:
https://doaj.org/article/3a5dda75c23e453d94d1b996c073a41e
Autor:
Steffen Kionke, Eduard Schesler
We prove that the minimal representation dimension of a direct product $G$ of non-abelian groups $G_1,\ldots,G_n$ is bounded below by $n+1$ and thereby answer a question of Ab\'ert. If each $G_i$ is moreover non-solvable, then this lower bound can be
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0e0accd028655f725b947ebecf54f6e
http://arxiv.org/abs/2301.01330
http://arxiv.org/abs/2301.01330
Autor:
Holger Kammeyer, Steffen Kionke
Publikováno v:
Pacific Journal of Mathematics. 313:137-158
By arithmeticity and superrigidity, a commensurability class of lattices in a higher rank Lie group is defined by a unique algebraic group over a unique number subfield of $\mathbb{R}$ or $\mathbb{C}$. We prove an adelic version of superrigidity whic
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8c392f893286e8724624caef1bd1c57a
https://doi.org/10.2140/pjm.2021.313.137
https://doi.org/10.2140/pjm.2021.313.137
Autor:
Steffen Kionke, Clara Löh
Publikováno v:
Glasgow Mathematical Journal. 63:563-583
We define and study generalizations of simplicial volume over arbitrary seminormed rings with a focus on p-adic simplicial volumes. We investigate the dependence on the prime and establish homology bounds in terms of p-adic simplicial volumes. As the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::64f9b2905de6cda474011ef5e8280128
https://doi.org/10.1017/s0017089520000385
https://doi.org/10.1017/s0017089520000385
Autor:
Steffen Kionke
Publikováno v:
Journal of Algebra. 528:260-284
We consider groups that act on spherically symmetric rooted trees and study the associated representation of the group on the space of locally constant functions on the boundary of the tree. We introduce and discuss the new notion of locally 2-transi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c5e26ca7e9aa1ddea4ac099b24da0252
https://doi.org/10.1016/j.jalgebra.2019.03.023
https://doi.org/10.1016/j.jalgebra.2019.03.023
This article is concerned with the representation growth of profinite groups over finite fields. We investigate the structure of groups with uniformly bounded exponential representation growth (UBERG). Using crown-based powers we obtain some necessar
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e5f9b472eabeb1e9a0ca3c396825123
Autor:
HOLGER KAMMEYER, STEFFEN KIONKE
We investigate which higher rank simple Lie groups admit profinitely but not abstractly commensurable lattices. We show that no such examples exist for the complex forms of type $E_8$, $F_4$, and $G_2$. In contrast, there are arbitrarily many such ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::41e1eae39e66d526372ef4c3ea19861c
Autor:
Steffen Kionke, Matteo Vannacci
Publikováno v:
Israel Journal of Mathematics. 225:743-770
We define and study the class of positively finitely related (PFR) profinite groups. Positive finite relatedness is a probabilistic property of profinite groups which provides a first step to defining higher finiteness properties of profinite groups
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52f3c5ad1fb503cb9f26653fe169002f
https://doi.org/10.1007/s11856-018-1676-2
https://doi.org/10.1007/s11856-018-1676-2
Autor:
Steffen Kionke
Publikováno v:
Mathematische Annalen. 371:405-444
Let $G$ be a group with a finite subgroup $H$. We define the $L^2$-multiplicity of an irreducible representation of $H$ in the $L^2$-homology of a proper $G$-CW-complex. These invariants generalize the $L^2$-Betti numbers. Our main results are approx
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4237b7f6b14e9453161ab798580cf3b5
https://doi.org/10.1007/s00208-017-1632-1
https://doi.org/10.1007/s00208-017-1632-1
Autor:
Steffen Kionke
Publikováno v:
p-Adic Numbers, Ultrametric Analysis and Applications. 11:335-337
We explain how the construction of the real numbers using quasimorphisms can be transformed into a general method to construct the completion of a field with respect to an absolute value.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::73cde085e4953a5dbb629a8d9ac133b3
https://doi.org/10.1134/s2070046619040083
https://doi.org/10.1134/s2070046619040083