Search results for "Infinite group"

showing 3 items of 3 documents

Infinite factorized groups

1989

Normal subgroupPure mathematicsInfinite groupMathematics
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Hamilton–Jacobi semi-groups in infinite dimensional spaces

2006

AbstractLet (X,ρ) be a Polish space endowed with a probability measure μ. Assume that we can do Malliavin Calculus on (X,μ). Let d:X×X→[0,+∞] be a pseudo-distance. Consider QtF(x)=infy∈X{F(y)+d2(x,y)/2t}. We shall prove that QtF satisfies the Hamilton–Jacobi inequality under suitable conditions. This result will be applied to establish transportation cost inequalities on path groups and loop groups in the spirit of Bobkov, Gentil and Ledoux.

Path (topology)Mathematics(all)Pure mathematicsGeneral MathematicsMathematical analysisTransportation cost inequalitiesMalliavin calculusHamilton–Jacobi equationHeat measuresLoop groupsLoop (topology)Hamilton–Jacobi semi-groupInfinite groupLoop groupPseudo-distanceMalliavin CalculusPolish spaceMathematicsProbability measureBulletin des Sciences Mathématiques
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Group Identities on Units of Group Algebras

2000

Abstract Let U be the group of units of the group algebra FG of a group G over a field F . Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a complete classification of such groups. For torsion groups this problem has already been settled in recent years.

p-groupAlgebra and Number TheoryDicyclic groupG-module010102 general mathematicsPerfect groupCyclic group010103 numerical & computational mathematics01 natural sciencesNon-abelian groupCombinatoricsInfinite groupIdentity component0101 mathematicsMathematicsJournal of Algebra
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