Search results for "Mathematics::Group Theory"

showing 10 items of 174 documents

"Table 3" of "Properties of jet fragmentation using charged particles measured with the ATLAS detector in $pp$ collisions at $\sqrt{s}=13$ TeV"

2021

$\langle \zeta \rangle$, forward jet.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group Theory13000.0$\langle \zeta \rangle$High Energy Physics::LatticeHigh Energy Physics::PhenomenologyP P --> jet jet
researchProduct

"Table 4" of "Properties of jet fragmentation using charged particles measured with the ATLAS detector in $pp$ collisions at $\sqrt{s}=13$ TeV"

2021

$\langle \zeta \rangle$, central jet.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group Theory13000.0$\langle \zeta \rangle$High Energy Physics::LatticeHigh Energy Physics::PhenomenologyP P --> jet jet
researchProduct

"Table 4" of "Properties of jet fragmentation using charged particles measured with the ATLAS detector in $pp$ collisions at $\sqrt{s}=13$ TeV"

2020

$\langle \zeta \rangle$, central jet.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group Theory13000.0$\langle \zeta \rangle$High Energy Physics::LatticeHigh Energy Physics::PhenomenologyP P --> jet jet
researchProduct

"2/NPART*" of "Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe-Xe collisions at $\sqrt{s_{\rm NN}}$ = 5.4…

2019

Values of $2/\langle N_\mathrm{part} \rangle \langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta\rangle$ and $2/\langle N_\mathrm{part} \rangle N^\mathrm{tot}_\mathrm{ch}$ in Xe--Xe collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.44\,\mathrm{TeV}$ for the top 5$\%$ central collisions.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group TheoryHigh Energy Physics::LatticeHigh Energy Physics::Phenomenology5440.0XE XE --> CHARGED X2/NPART*
researchProduct

"2/NPART*_VS_SCALED" of "Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe-Xe collisions at $\sqrt{s_{\rm N…

2019

Values of $2/\langle N_\mathrm{part} \rangle \langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta\rangle$ and $2/\langle N_\mathrm{part} \rangle N^\mathrm{tot}_\mathrm{ch}$ as a function of $(\langle N_\mathrm{part} \rangle -2)/(2A)$ in Xe--Xe collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.44\,\mathrm{TeV}$.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group TheoryHigh Energy Physics::LatticeHigh Energy Physics::Phenomenology5440.0XE XE --> CHARGED X2/NPART*
researchProduct

"2/NPART*VS" of "Centrality and pseudorapidity dependence of the charged-particle multiplicity density in Xe-Xe collisions at $\sqrt{s_{\rm NN}}$ = 5…

2019

Values of $2/\langle N_\mathrm{part} \rangle \langle \mathrm{d}N_\mathrm{ch}/\mathrm{d}\eta\rangle$ and $2/\langle N_\mathrm{part} \rangle N^\mathrm{tot}_\mathrm{ch}$ as a function of $\langle N_\mathrm{part} \rangle$ in Xe--Xe collisions at $\sqrt{s_{_{\mathrm{NN}}}} = 5.44\,\mathrm{TeV}$.

Nonlinear Sciences::Chaotic DynamicsMathematics::Functional AnalysisMathematics::Group TheoryHigh Energy Physics::LatticeHigh Energy Physics::Phenomenology5440.0XE XE --> CHARGED X2/NPART*
researchProduct

Permutable subnormal subgroups of finite groups

2009

The aim of this paper is to prove certain characterization theorems for groups in which permutability is a transitive relation, the so called PT -groups. In particular, it is shown that the finite solvable PT -groups, the finite solvable groups in which every subnormal subgroup of defect two is permutable, the finite solvable groups in which every normal subgroup is permutable sensitive, and the finite solvable groups in which conjugatepermutability and permutability coincide are all one and the same class. This follows from our main result which says that the finite modular p-groups, p a prime, are those p-groups in which every subnormal subgroup of defect two is permutable or, equivalentl…

Normal subgroupClass (set theory)PermutableMathematics::CombinatoricsGeneral MathematicsSubnormalModular p-groupGrups Teoria deCharacterization (mathematics)Prime (order theory)PT -groupSubnormal subgroupCombinatoricsMathematics::Group TheorySolvable groupPermutable primeÀlgebraAlgebra over a fieldMATEMATICA APLICADAMathematicsConjugate-Permutable
researchProduct

On maximal subgroups of finite groups

1991

(1991). On maximal subgroups of finite groups. Communications in Algebra: Vol. 19, No. 8, pp. 2373-2394.

Normal subgroupCombinatoricsMathematics::Group TheoryMaximal subgroupAlgebra and Number TheoryLocally finite groupCosetIndex of a subgroupAlgebra over a fieldCharacteristic subgroupMathematicsCommunications in Algebra
researchProduct

On the product of a nilpotent group and a group with non-trivial center

2007

Abstract It is proved that a finite group G = A B which is a product of a nilpotent subgroup A and a subgroup B with non-trivial center contains a non-trivial abelian normal subgroup.

Normal subgroupDiscrete mathematicsComplement (group theory)Algebra and Number TheorySoluble groupMetabelian groupCommutator subgroupCentral seriesFitting subgroupProduct of groupsCombinatoricsMathematics::Group TheorySolvable groupFactorized groupCharacteristic subgroupNilpotent groupMathematicsJournal of Algebra
researchProduct

Characters of relative p'-degree over normal subgroups

2013

Let Z be a normal subgroup of a finite group G , let ??Irr(Z) be an irreducible complex character of Z , and let p be a prime number. If p does not divide the integers ?(1)/?(1) for all ??Irr(G) lying over ? , then we prove that the Sylow p -subgroups of G/Z are abelian. This theorem, which generalizes the Gluck-Wolf Theorem to arbitrary finite groups, is one of the principal obstacles to proving the celebrated Brauer Height Zero Conjecture

Normal subgroupDiscrete mathematicsFinite groupConjectureBrauer's theorem on induced charactersSylow theoremsZero (complex analysis)Prime numberMathematics::Group TheoryMathematics (miscellaneous)Statistics Probability and UncertaintyAbelian groupMathematics::Representation TheoryMathematicsAnnals of Mathematics
researchProduct