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322 results on '"Horváth, Erzsébet"'

1. On Frobenius graphs of diameter 3 for finite groups

Author

Breuer, Thomas, Héthelyi, László, Horváth, Erzsébet, and Külshammer, Burkhard

Subjects
Mathematics - Group Theory, 20C15 (05C12)
Abstract

For a subgroup $H$ of a finite group $G$, the Frobenius graph $\Gamma(G, H)$ records the constituents of the restrictions to $H$ of the irreducible characters of $G$. We investigate when this graph has diameter 3., Comment: 27 pages, 7 tables, 3 figures

Published
2024

3. The Loewy Structure of Certain Fixpoint Algebras, Part II

Author

Breuer, Thomas, Héthelyi, László, Horváth, Erzsébet, and Külshammer, Burkhard

Subjects
Mathematics - Representation Theory
Abstract

In Part I of this paper, we introduced a class of certain algebras of finite dimension over a field. All these algebras are split, symmetric and local. Here we continue to investigate their Loewy structure. We show that in many cases their Loewy length is equal to an upper bound established in Part I, but we also construct examples where we have a strict inequality., Comment: 40 pages, 3 tables

Published
2019

5. Subgroups of arbitrary even ordinary depth

Author

Janabi, Hayder Abbas, Breuer, Thomas, and Horvath, Erzsebet

Subjects
Mathematics - Group Theory, Mathematics - Representation Theory, 20C15 (primary), 20B35, 05C12, 05C76 (secondary)
Abstract

We show that for each positive integer $n$, there are a group $G$ and a subgroup $H$ such that the ordinary depth is $d(H, G) = 2n$. This solves the open problem posed by Lars Kadison whether even ordinary depth larger than $6$ can occur., Comment: 9 pages; the new version fixes two citations (the numbers stated in the first version referred to a non-final version of the cited paper) and adds some motivating examples

Published
2019

7. The depth of the maximal subgroups of Ree groups

Author

Héthelyi, László, Horváth, Erzsébet, and Petényi, Franciska

Subjects
Mathematics - Group Theory, 20D06, 20C15, 20B20, 20C33
Abstract

We determine the combinatorial and the ordinary depth of the maximal subgroups of the simple Ree groups, $R(q)$.

Published
2016

12. The Maschke property for the Sylow p-subgroups of the symmetric group S_p^n

Author

Green, David J., Héthelyi, László, and Horváth, Erzsébet

Subjects
Mathematics - Group Theory, 20D45 (Primary), 20B35, 20D20 (Secondary)
Abstract

The Sylow p-subgroups of the symmetric group S_p^n satisfy the appropriate generalization of Maschke's Theorem to the case of a p'-group acting on a (not necessarily abelian) p-group. Moreover, some known results about the Sylow p-subgroups of S_p^n are stated in a form that is true for all primes p.

Published
2014

13. The depth of subgroups of Suzuki groups

Author

Héthelyi, László, Horváth, Erzsébet, and Petényi, Franciska

Subjects
Mathematics - Group Theory, 20B20
Abstract

We determine the combinatorial depth of certain subgroups of simple Suzuki groups Sz(q), among others the depth of their maximal subgroups. We apply these results to determine the ordinary depth of these subgroups., Comment: 15 pages

Published
2014

15. Real characters in blocks

Author

Hethelyi, Laszlo, Horvath, Erzsebet, and Szabo, Endre

Subjects
Mathematics - Representation Theory, Mathematics - Group Theory
Abstract

We consider real versions of Brauer's k(B) conjecture, Olsson's conjecture and Eaton's conjecture. We prove the real version of Eaton's conjecture for 2-blocks of groups with cyclic defect group and for the principal 2-blocks of groups with trivial real core. We also characterize G-classes, real and rational G-classes of the defect group of a block B.

Published
2011

25. Erosion susceptibility mapping of a loess-covered region using Analytic Hierarchy Process - A case study: Kalat-e-Naderi, northeast Iran.

Author

NOOSHIN NOKHANDAN, FATEMEH, GHAHRAMAN, KAVEH, and HORVÁTH, ERZSéBET

Subjects
LANDSLIDE hazard analysis, ANALYTIC hierarchy process, NORMALIZED difference vegetation index, GEOGRAPHIC information systems, EROSION, PRECIPITATION variability
Abstract

In this study, the Analytic Hierarchy Process (AHP) is applied to generate erosion susceptibility maps in four basins of Kalat-e-Naderi county, namely Archangan, Kalat, Qaratigan, and Chahchaheh basins, situated in northeast Iran. The Kalat-e-Naderi region is characterized by a partial coverage of loess. Given the agricultural significance of loess and its susceptibility to erosion, this research focuses specifically on regions covered by loess. Geographic Information System (GIS) tools, including ArcMap and Quantum Geographic Information System (QGIS), were utilized to facilitate the creation of erosion susceptibility maps. Seven factors, including slope, aspect, elevation, drainage density, lithology, the Normalized Difference Vegetation Index (NDVI), and precipitation were selected for consideration. Recognizing the variability of precipitation and vegetation cover across different seasons, seasonal data for the specified factors were employed. Consequently, erosion susceptibility maps were generated on a seasonal basis. Pairwise comparison tables revealed that precipitation, lithology, and slope emerged as the dominant factors contributing to erosion susceptibility in this region. The resultant maps distinctly delineate basins with higher precipitation values, unresistant lithology (such as loess, characterized by high porosity and permeability), and steeper slopes, exhibiting heightened susceptibility to erosion (Archangan and Kalat basins). The credibility of the research findings was examined through on-site observations. The outcomes of this study may provide pertinent insights for decision-makers and planners. This information can be effectively employed in formulating strategies aimed at conserving soil quality in areas vulnerable to erosion hazards. [ABSTRACT FROM AUTHOR]

Published
2023
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34. High resolution luminescence dating of the Süttő loess-paleosol sequence (MIS 6-2) to create an age depth model and calculate mass accumulation rates - as input data for paleoclimate models

Author

Novothny Ágnes, Sipos György, Filyó Dávid, Surányi Gergely, Végh Tamás, Csonka Diána, Bartyik Tamás, Magyar Gergő, Újvári Gábor, and Horváth Erzsébet

Abstract

Loess-paleosol sequences are among the most important and detailed terrestrial records of local climate and environmental changes during the Pleistocene. The Carpathian Basin can offer a unique opportunity to investigate temporal and spatial variations in dust accumulation, since 20-25% of its area is covered by loess and the thickness of these material is considerable (80-90 m at max).High-resolution data are available for some loess sections (Jingbian, Sanbahuo, Toshan, Dunaszekcső) making it possible to develop reliable age-depth models and to calculate more precise mass accumulation rates (MARs), being among the most important input data of paleoclimate models. However, these measurements are mostly limited at around 50 k age, because they are based on radiocarbon or quartz luminescence ages. In our project, the 20 m thick loess-paleosol profile at Süttő, in the northern part of the Carpathian Basin, was investigated first. More than 130 luminescence and some radiocarbon samples were collected during the sampling campaign during the winter of 2020-21. A systematic sampling for porosity/density measurement was also carried out parallel to luminescence sampling.This profile was previously dated by Novothny et al. using multiple aliquot additive dose Infrared Stimulated Luminescence (IRSL), single aliquot regeneration IRSL with fading correction, and it resulted in the deposition period of the dust during MIS 6 - MIS 2. The luminescence ages in this study are calculated based on the Optically Stimulated Luminescence signal of quartz for the younger part of the sequence and using the post-Infrared IRSL signal of polymineral fine-grains for the older than ~50 ka part of the sequence. The samples were collected from every 20 cm, and every 10th samples are considered as primary or benchmark samples and therefore complete luminescence tests, residual dose, a-value, and fading measurements are carried out on them. The secondary samples are only measured by shortened measurement routine to optimize the measurement strategy and save measurement time.Age-depth modelling will be carried out using an R-package specially developed for the Bayesian and inverse modelling of luminescence ages. Based on the constructed age-depth models and the already available datasets MARs will be calculated for each MI stages.Luminescence properties and variation of dose rate may also have a paleo-environmental relevance, e.g. the luminescence sensitivity of the quartz fraction can refer to the provenance of the dust. Dose rate measurements will be performed by two Canberra type gamma spectrometers equipped with a GX2018 extended range Ge detector and a MiDose alpha/beta counter, which also enables microdosimetric analyses and comparison between the different kinds of detectors.The research was supported by the NKFIH project K 135509.

Published
2022
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