Zobrazeno 1 - 10
of 318
pro vyhledávání: '"Sambale P"'
Consider a stationary Poisson process $\eta$ in the $d$-dimensional Euclidean or hyperbolic space and construct a random graph with vertex set $\eta$ as follows. First, each point $x\in\eta$ is connected by an edge to its nearest neighbour, then to i
Externí odkaz:
http://arxiv.org/abs/2411.00748
Autor:
Wen, Qianfeng, Liu, Yifan, Zhang, Joshua, Saad, George, Korikov, Anton, Sambale, Yury, Sanner, Scott
In Query-driven Travel Recommender Systems (RSs), it is crucial to understand the user intent behind challenging natural language(NL) destination queries such as the broadly worded "youth-friendly activities" or the indirect description "a high schoo
Externí odkaz:
http://arxiv.org/abs/2410.01598
Autor:
Götze, Friedrich, Sambale, Holger
We study various generalizations of concentration of measure on the unit sphere, in particular by means of log-Sobolev inequalities. First, we show Sudakov-type concentration results and local semicircular laws for weighted random matrices. A further
Externí odkaz:
http://arxiv.org/abs/2408.04346
Autor:
Sambale, Benjamin
We give elementary proofs of the following two theorems on automorphisms of a finite group G: (1) An automorphism of G is inner if and only if it extends to an automorphism of every finite group containing G. (2) There exists a finite group, whose ou
Externí odkaz:
http://arxiv.org/abs/2405.02992
Autor:
Sambale, Benjamin
We call a finite group G ultrasolvable if it has a characteristic subgroup series whose factors are cyclic. It was shown by Durbin--McDonald that the automorphism group of an ultrasolvable group is supersolvable. The converse statement was establishe
Externí odkaz:
http://arxiv.org/abs/2403.05926
Autor:
Sambale, Benjamin
We consider complex characters of a p-group P, which are invariant under a fusion system F on P. Extending a theorem of B\'arcenas--Cantarero to non-saturated fusion systems, we show that the number of indecomposable F-invariant characters of P is gr
Externí odkaz:
http://arxiv.org/abs/2401.15706
Autor:
Sambale, Benjamin
Let G be a pi-separable group with a Hall pi-subgroup H or order n. For x in H let lambda(x) be the number of Hall pi-subgroups of G containing x. We show that $\prod_{d\mid n}\prod_{x\in H}\lambda(x^{d})^{\frac{n}{d}\mu(d)}=1$, where mu is the M\"ob
Externí odkaz:
http://arxiv.org/abs/2401.05289
Let $\mathcal{F}$ be a set of finite groups. A finite group $G$ is called an \emph{$\mathcal{F}$-cover} if every group in $\mathcal{F}$ is isomorphic to a subgroup of $G$. An $\mathcal{F}$-cover is called \emph{minimal} if no proper subgroup of $G$ i
Externí odkaz:
http://arxiv.org/abs/2311.15652
Autor:
Sambale, Benjamin
A Sylow p-subgroup P of a finite group G is called redundant if every p-element of G lies in a Sylow subgroup different from P. Generalizing a recent theorem of Mar\'oti--Mart\'inez--Moret\'o, we show that for every non-cyclic p-group P there exists
Externí odkaz:
http://arxiv.org/abs/2311.06931
We classify principal $2$-blocks of finite groups $G$ with Sylow $2$-subgroups isomorphic to a wreathed $2$-group $C_{2^n}\wr C_2$ with $n\geq 2$ up to Morita equivalence and up to splendid Morita equivalence. As a consequence, we obtain that Puig's
Externí odkaz:
http://arxiv.org/abs/2310.13621