Zobrazeno 1 - 10
of 809
pro vyhledávání: '"Klopsch, A."'
Let $G$ be a $p$-adic analytic pro-$p$ group of dimension $d$. We produce an approximate series which descends regularly in strata and whose terms deviate from the lower $p$-series in a uniformly bounded way. This brings to light a new set of rationa
Externí odkaz:
http://arxiv.org/abs/2402.06876
Autor:
Conte, Martina, Klopsch, Benjamin
Publikováno v:
Pacific J. Math. 328 (2024) 255-273
The Pr\"ufer rank $\mathrm{rk}(G)$ of a profinite group $G$ is the supremum, across all open subgroups $H$ of $G$, of the minimal number of generators $\mathrm{d}(H)$. It is known that, for any given prime $p$, a profinite group $G$ admits the struct
Externí odkaz:
http://arxiv.org/abs/2304.02504
Autor:
Klopsch, Benjamin, Quick, Martyn
Publikováno v:
Pacific J. Math. 325 (2023) 147-189
Just infinite groups play a significant role in profinite group theory. For each $c \geq 0$, we consider more generally JNN$_c$F profinite (or, in places, discrete) groups that are Fitting-free; these are the groups $G$ such that every proper quotien
Externí odkaz:
http://arxiv.org/abs/2211.07567
Motivated by a classic result for free groups, one says that a group $G$ has the Magnus property if the following holds: whenever two elements generate the same normal subgroup of $G$, they are conjugate or inverse-conjugate in $G$. It is a natural p
Externí odkaz:
http://arxiv.org/abs/2208.13691
Publikováno v:
Journal of Educational Administration, 2023, Vol. 62, Issue 1, pp. 103-121.
Externí odkaz:
http://www.emeraldinsight.com/doi/10.1108/JEA-03-2023-0049
The degree of commutativity of a finite group is the probability that two uniformly and randomly chosen elements commute. This notion extends naturally to finitely generated groups $G$: the degree of commutativity $\text{dc}_S(G)$, with respect to a
Externí odkaz:
http://arxiv.org/abs/2205.02027
We consider coincidence Reidemeister zeta functions for tame endomorphism pairs of nilpotent groups of finite rank, shedding new light on the subject by means of profinite completion techniques. In particular, we provide a closed formula for coincide
Externí odkaz:
http://arxiv.org/abs/2102.10900
Autor:
Heras, Iker de las, Klopsch, Benjamin
For each odd prime $p$, we produce a $2$-generated pro-$p$ group $G$ whose normal Hausdorff spectra \[ \mathrm{hspec}_{\trianglelefteq}^{\mathcal{S}}(G) = \{ \mathrm{hdim}_{G}^{\mathcal{S}}(H)\mid H\trianglelefteq_\mathrm{c} G \} \] with respect to f
Externí odkaz:
http://arxiv.org/abs/2004.02846
Autor:
Johannes Gutbrod, Britta Klopsch
Publikováno v:
TATuP – Zeitschrift für Technikfolgenabschätzung in Theorie und Praxis, Vol 32, Iss 3 (2023)
Chatbots and artificial intelligence (AI) do not stop at schools. Integrating them beneficially into pedagogical settings is still an unfamiliar situation for schools and teachers. This article relates the fundamental pedagogical aspects of schools t
Externí odkaz:
https://doaj.org/article/16370c33dceb4ea3a0fe2951d5dc56c8
Autor:
Kessel, Fiona, Frieß, Martin, Hohn, Oliver, Klopsch, Linda, Zöllner, Charlotte, Dirks, Cora, Scheiffele, Matthias, Vogel, Felix, Jemmali, Raouf
Publikováno v:
In Journal of the European Ceramic Society September 2023 43(12):5148-5158