Search results for " Mathematics"

showing 10 items of 10797 documents

A remark on conjectures in modular representation theory

1987

AlgebraFaithful representationModular representation theoryRepresentation theory of the symmetric groupGeneral MathematicsRestricted representationTrivial representationRepresentation theory of the Poincaré groupReal representationRepresentation theory of finite groupsMathematicsArchiv der Mathematik
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On formations of finite groups with the generalized Wielandt property for residuals II

2018

A formation [Formula: see text] of finite groups has the generalized Wielandt property for residuals, or [Formula: see text] is a GWP-formation, if the [Formula: see text]-residual of a group generated by two [Formula: see text]-subnormal subgroups is the subgroup generated by their [Formula: see text]-residuals. The main result of this paper describes a large family of GWP-formations to further the transparence of this kind of formations, and it can be regarded as a natural step toward the solution of the classification problem.

AlgebraFinite groupAlgebra and Number TheoryProperty (philosophy)Group (mathematics)Applied Mathematics010102 general mathematics0103 physical sciences0101 mathematicsResidual01 natural sciences010305 fluids & plasmasMathematicsJournal of Algebra and Its Applications
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Degrees of Characters and Values on Prime Order Elements

2008

Two irreducible characters of a finite group with the same value on prime elements have the same degree.

AlgebraFinite groupPure mathematicsAlgebra and Number TheoryMathematics::Number TheoryPrime elementDegree (angle)Mathematics::Representation TheoryValue (mathematics)Character groupMathematicsCommunications in Algebra
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On the -hypercentre of a finite group

2008

The main objective of this paper is to study and describe the hypercentre of a finite group associated with saturated formations, in terms of some subgroup embedding properties related to permutability. (© 2008 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

AlgebraFinite groupPure mathematicsGeneral MathematicsEmbeddingMathematicsMathematische Nachrichten
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Functional Derivative Approach

2001

Let us now leave the path integral formalism temporarily and reformulate operatorial quantum mechanics in a way which will make it easy later on to establish the formal connection between operator and path integral formalism. Our objective is to introduce the generating functional into quantum mechanics. Naturally we want to generate transition amplitudes. The problem confronting us is how to transcribe operator quantum mechanics as expressed in Heisenberg’s equation of motion into a theory formulated solely in terms of c-numbers. This can be achieved either by Schwinger’s action principle or with the aid of a generation functional defined as follows:

AlgebraFormalism (philosophy of mathematics)Computer sciencePath integral formulationEquations of motionFunctional derivative
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Some applications of a fundamental theorem by Gluck and Wolf in the character theory of finite groups

1986

AlgebraFundamental theoremCompact groupGroup (mathematics)General MathematicsSimple groupCharacter theoryClassification of finite simple groupsCA-groupGroup theoryMathematicsMathematische Zeitschrift
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On the Fundamental Theorem of Finite Abelian Groups

2003

(2003). On the Fundamental Theorem of Finite Abelian Groups. The American Mathematical Monthly: Vol. 110, No. 2, pp. 153-154.

AlgebraGeneral MathematicsAbelian groupMathematicsThe American Mathematical Monthly
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Erratum/Addendum to the paper ``Some seminorms on quasi*-algebras" (Studia Math. 158 (2003), 99–115)

2004

AlgebraGeneral MathematicsAddendumAlgorithmMathematicsStudia Mathematica
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On difference of operators with different basis functions

2019

In the recent years several researchers have studied problems concerning the difference of two linear positive operators, but all the available literature on this topic is for operators having same basis functions. In the present paper, we deal with the general quantitative estimate for the difference of operators having different basis functions. In the end we provide some examples. The estimates for the differences of two operators can be obtained also using classical result of Shisha and Mond. Using numerical examples we will show that for particular cases our result improves the classical one.

AlgebraGeneral MathematicsBasis functionMathematicsFilomat
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GENERALIZED HYPERCENTERS IN INFINITE GROUPS

2011

We consider the so-called generalized center, defined by Agrawal, in the slightly wider context of periodic groups and try to find out where additional conditions are needed for refinements. In particular we consider the final terms of the corresponding ascending sequences.

AlgebraGeneral MathematicsContext (language use)Center (algebra and category theory)MathematicsAsian-European Journal of Mathematics
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