Search results for "Characters"

showing 10 items of 83 documents

Non-vanishing elements of finite groups

2010

AbstractLet G be a finite group, and let Irr(G) denote the set of irreducible complex characters of G. An element x of G is non-vanishing if, for every χ in Irr(G), we have χ(x)≠0. We prove that, if x is a non-vanishing element of G and the order of x is coprime to 6, then x lies in the Fitting subgroup of G.

Finite groupBrauer's theorem on induced charactersAlgebra and Number TheoryCoprime integers010102 general mathematics0102 computer and information sciences01 natural sciencesFitting subgroupFinite groupsCombinatorics010201 computation theory & mathematicsOrder (group theory)Zeros of charactersCharacters0101 mathematicsElement (category theory)MathematicsJournal of Algebra
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Degrees of rational characters of finite groups

2010

Abstract A classical theorem of John Thompson on character degrees states that if the degree of any complex irreducible character of a finite group G is 1 or divisible by a prime p, then G has a normal p-complement. In this paper, we consider fields of values of characters and prove some improvements of this result.

Finite groupMathematics(all)Brauer's theorem on induced charactersGeneral Mathematics010102 general mathematics01 natural sciencesPrime (order theory)CombinatoricsNormal p-complementCharacter (mathematics)Rational characterNormal p-complement0103 physical sciencesDegree (angle)010307 mathematical physics0101 mathematicsClassical theoremMathematicsAdvances in Mathematics
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Finite groups with real-valued irreducible characters of prime degree

2008

Abstract In this paper we describe the structure of finite groups whose real-valued nonlinear irreducible characters have all prime degree. The more general situation in which the real-valued irreducible characters of a finite group have all squarefree degree is also considered.

Finite groupReal charactersBrauer's theorem on induced charactersAlgebra and Number TheoryDegree (graph theory)Mathematics::Number TheoryStructure (category theory)Prime elementSquare-free integerCharacter degreesCombinatoricsCharacter tableMathematics::Representation TheoryCharacter groupMathematicsJournal of Algebra
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Powers of conjugacy classes in a finite groups

2020

[EN] The aim of this paper is to show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper was to show several results about solvability concerning the case in which the power of a conjugacy class is a union of one or two conjugacy classes. Moreover, we show that the above conditions can be determined through the character table of the group.

Finite groupbusiness.industryApplied Mathematics010102 general mathematics4904 Pure MathematicsPower of conjugacy classes01 natural sciencesFinite groupsConjugacy classesMathematics::Group TheoryConjugacy classHospitalitySolvability0103 physical sciences49 Mathematical Sciences010307 mathematical physicsSociologyCharacters0101 mathematicsbusinessMATEMATICA APLICADAHumanitiesMatemàtica
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Kurzweil-Henstock type integral in fourier analysis on compact zero-dimensional group

2009

Abstract A Kurzweil-Henstock type integral defined on a zero-dimensional compact abelian group is studied and used to obtain a generalization of some results related to the problem of recovering, by generalized Fourier formulae, the coefficients of convergent series with respect to the characters of such a group.

General MathematicsMathematical analysisMathematics::Classical Analysis and ODEsLocally compact groupFourier integral operatorsymbols.namesakeFourier transformSettore MAT/05 - Analisi MatematicaFourier analysisImproper integralsymbolsAbelian groupCompact zero-dimensional group characters of group Kurzweil-Hestock integral Perrron integral Fourier series coefficient problem.Fourier seriesConvergent seriesMathematicsTatra Mountains Mathematical Publications
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Women in Aeschylean scene: a linguistic characterization

2021

Este trabalho examina os dispositivos linguísticos por meio dos quais Ésquilo conseguiu apresentar as personagens femininas da Oresteia. A análise é feita após um levantamento das seções recitativas de três tragédias; características fonéticas, morfológicas e sintáticas foram estudadas e comparadas com a linguagem dos personagens masculinos. Os resultados desta pesquisa se ajustam a outras tentativas precedentes de mostrar como a sociolinguística pode explicar o retrato formal dos personagens trágicos e cômicos. This paper examines the linguistic devices by means of which Aeschylus achieved the presentation of the female characters of the Oresteia. The analysis is made after a survey of the…

Greek language and literature. Latin language and literatureÉsquilo; Oresteia; personagens; sociolinguística; gênerosociolinguísticaCivilització gregapersonagensGeneral MedicineAeschylus; Oresteia; characters; sociolinguistics; gendergêneroAncient historyD51-90Classical StudiesLetras ClássicasoresteiaésquiloPA
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Henstock type integral in harmonic analysis on zero-dimensional groups

2006

AbstractA Henstock type integral is defined on compact subsets of a locally compact zero-dimensional abelian group. This integral is applied to obtain an inversion formula for the multiplicative integral transform.

Henstock integralApplied MathematicsMathematical analysisLine integralRiemann integralRiemann–Stieltjes integralSingular integralLocally compact groupHenstock–Fourier seriesVolume integralsymbols.namesakeLocally compact zero-dimensional abelian groupImproper integralsymbolsCharacters of a groupInversion formulaDaniell integralMultiplicative integral transformAnalysisMathematicsJournal of Mathematical Analysis and Applications
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Brancati su Pirandello e il pirandellismo

2019

Nel romanzo breve "Sogno di un valzer" uscito a puntate su “Quadrivio”, dal 5 giugno al 14 agosto 1938, Vitaliano Brancati mette in scena, tra osservazione dei luoghi e rilevamento di costume, un’umanità fuori misura, continuamente in bilico tra realtà e sogno. A Caltanissetta (Nissa) la città nel cui Istituto magistrale lo scrittore, voltate le spalle alla Roma fascista, è venuto a insegnare, personaggi non appariscenti, insignificanti, che tuttavia covano desideri, si arrovellano in domande metafisiche. Prende così forma il leitmotiv delle critica al pirandellismo che più volte con ironia sottile affiora negli scritti brancatiani. Il saggio mostra come esso si intrecci con la comicità sul…

In the short novel "Sogno di un valzer" published on "Quadrivio" from 5 June to 14 August 1938 Vitaliano Brancati enacts between observation of places and survey of customs a world beyond measure constantly hovering between reality and dream. In Caltanissetta (Nissa) the city in which the writer is the magistral institute turned his back on fascist Rome he came to teach unobtrusive insignificant characters who nevertheless covet desires racking their brains in metaphysical questions. Thus the leitmotiv of the critics of pirandellism takes shape which often with subtle irony emerges in the Brancatian writings. The essay shows how it intertwines with the sulphurous comedy of the writer of Don Giovanni in Sicilia who tracing a particular topography of the island supported by inner relief leads his analysis of eccentric behaviors and of the aberrations of the mind in which the trivialized Pirandellian thought ends to become an explosive element.
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Supraspecific taxonomy of Palaearctic Platycleidini with unarmed prosternum: a morphological approach (Orthoptera: Tettigoniidae, Tettigoniinae)

2011

Authors analysed 33 supraspecific taxa of Palaearctic Platycleidini with unarmed prosternum, most of them hitherto considered genera or subgenera of Platycleis and Metrioptera. For each of them they give a short description of the characters revealing the correct classification of males and females. Then, they propose a more consistent classification, when both males and females of a supraspecific taxon are clearly distinct, they should be elevated to distinct genera. On the whole, they propose to classify Palaearctic taxa into 32 genera, for which they propose a key based on the characters used in this paper and illustrated by 140 photographs. Additionally, they describe the following new …

InsectaArthropodaTettigoniidaeTaxa descriptionZoologyGenera/subgeneraKey to generaTettigoniinaeMorphological charactersGenusTettigoniidaeAnimaliaEcology Evolution Behavior and SystematicsTaxonomyMetriopterabiologyPlatycleisBiodiversitySynonymiesbiology.organism_classificationPlatycleis/Metrioptera classificationSettore AGR/11 - Entomologia Generale E ApplicataTaxonReview key to genera genera description species descriptionOrthopteraAnimal Science and ZoologyTaxonomy (biology)SubgenusZootaxa
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The First Main Theorem

1998

Kernel (algebra)Pure mathematicsBrauer's theorem on induced charactersMin-max theoremBlock (programming)Defect groupHomomorphismClassification of finite simple groupsAlgebra over a fieldMathematics
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