Zobrazeno 1 - 10
of 2 333
pro vyhledávání: '"Maroti P"'
Fixed point ratios for primitive permutation groups have been extensively studied. Relying on a recent work of Burness and Guralnick, we obtain further results in the area. For a prime $p$ and a finite group $G$, we use fixed point ratios to study th
Externí odkaz:
http://arxiv.org/abs/2407.20355
We study the Hobby-McKenzie varieties that constitute a major class investigated thoroughly in the monograph The shape of congruence lattices by Kearnes and Kiss. We obtain new characterizations of the Hobby-McKenzie varieties via compatible reflexiv
Externí odkaz:
http://arxiv.org/abs/2406.16669
Let $p$ be a prime. We construct a function $f$ on the natural numbers such that $f(x) \to \infty$ as $x \to \infty$ and $k_{p}(G)+k_{p'}(G)\geq f(|G|)$ for all finite groups $G$. Here $k_{p}(G)$ denotes the number of conjugacy classes of nontrivial
Externí odkaz:
http://arxiv.org/abs/2406.11199
Autor:
Fumagalli, Francesco, Maróti, Attila
If $A$, $B$, $C$ are subsets in a finite simple group of Lie type $G$ at least two of which are normal with $|A||B||C|$ relatively large, then we establish a stronger conclusion than $ABC = G$. This is related to a theorem of Gowers and is a generali
Externí odkaz:
http://arxiv.org/abs/2404.04967
Publikováno v:
Bull. Lond. Math. Soc., 56(8):2704--2710, 2024
We prove that the product of a subset and a normal subset inside any finite simple non-abelian group $G$ grows rapidly. More precisely, if $A$ and $B$ are two subsets with $B$ normal and neither of them is too large inside $G$, then $|AB| \geq |A||B|
Externí odkaz:
http://arxiv.org/abs/2401.12128
Let p be a prime. In this paper we provide a lower bound for the number of almost p-rational characters of degree coprime to p in the principal p-block of a finite group of order divisible by p. We further describe the p-local structure of the groups
Externí odkaz:
http://arxiv.org/abs/2401.09224
Materials with complex inner structure can be challenging to characterize in an effective way. First, it is difficult to determine the representative volume for such a heterogeneous material. Second, the effective material parameters significantly de
Externí odkaz:
http://arxiv.org/abs/2308.05532
We study the Taylor varieties and obtain new characterizations of them via compatible reflexive digraphs. Based on our findings, we prove that in the lattice of interpretability types of varieties, the filter of the types of all Taylor varieties is p
Externí odkaz:
http://arxiv.org/abs/2307.12902
Autor:
Maróti, Attila, Skresanov, Saveliy V.
We obtain an asymptotic upper bound for the product of the $p$-parts of the orders of certain composition factors of a finite group acting completely reducibly and faithfully on a finite vector space of order divisible by a prime $p$. An application
Externí odkaz:
http://arxiv.org/abs/2306.01410
Autor:
Peter Zoltan Bogar, Mark Virag, Matyas Bene, Peter Hardi, Andras Matuz, Adam Tibor Schlegl, Luca Toth, Ferenc Molnar, Balint Nagy, Szilard Rendeki, Krisztina Berner-Juhos, Andrea Ferencz, Krisztina Fischer, Peter Maroti
Publikováno v:
Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
Abstract Simulators are widely used in medical education, but objective and automatic assessment is not feasible with low-fidelity simulators, which can be solved with artificial intelligence (AI) and virtual reality (VR) solutions. The effectiveness
Externí odkaz:
https://doaj.org/article/476bc25897064fec979e907952a61397
