Search results for "combinatoric"

showing 10 items of 1776 documents

Subdirectly irreducible generalized sums of upper semilattice ordered systems of algebras

2002

In [15] the generalized sum of an upper (F 1 , F 2 )-semilattice ordered system of algebras was defined. In this paper we find necessary and sufficient conditions under which this construction yields subdirectly irreducible algebras.

CombinatoricsAlgebra and Number TheorySubdirectly irreducible algebraMathematics::Rings and AlgebrasMathematics::General TopologySemilatticeAlgebra over a fieldMathematicsAlgebra Universalis
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Groups whose subgroups satisfy the weak subnormalizer condition

2019

A subgroup X of a group G is said to satisfy the weak subnormalizer condition if $$N_G(Y)\le N_G(X)$$ for each non-normal subgroup Y of G such that $$X\le Y\le N_G(X)$$ . The behaviour of generalized soluble groups whose (cyclic) subgroups satisfy the weak subnormalizer condition is investigated.

CombinatoricsAlgebra and Number TheoryT-groupGroup (mathematics)Geometry and TopologyAlgebraic geometryAlgebra over a fieldMatemàticaMathematics
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Hyper-abelian groups with finite co-central rank

2004

AbstractA group G has finite co-central rank s if there exists a least non-negative integer s such that every finitely generated subgroup H can be generated by at most s elements modulo the centre of H. The investigation of such groups has been started in [J.P. Sysak, A. Tresch, J. Group Theory 4 (2001) 325]. It is proved that hyper-abelian groups with finite co-central rank are locally soluble. The interplay between the Prüfer rank condition, the condition of having finite abelian section rank and the finite co-central rank condition is studied. As one result, a hyper-abelian group G with finite co-central rank has an ascending series with abelian factors of finite rank and every chief fac…

CombinatoricsAlgebra and Number TheoryTorsion subgroupRank conditionLocally finite groupPrüfer rankElementary abelian groupCyclic groupAbelian groupRank of an abelian groupMathematicsJournal of Algebra
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Automorphisms of the integral group rings of some wreath products

1991

CombinatoricsAlgebra and Number TheoryWreath productAutomorphismMathematicsGroup ringCommunications in Algebra
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Introduction to Sum‐Of‐Sinusoids Channel Models

2011

CombinatoricsAlgebraChannel modelsMathematicsMobile Radio Channels
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Miglioramento dell'approssimazione delle radici complesse, semplici e multiple di equazioni algebriche a coefficienti reali

1968

The paper shows an iterative procedure by which, starting from an approximate value of a root,z0=x0+jy0, of an algebraic equationF(z)=0, a sequence of values {zn} is obtained, aproximating the corresponding exact root; under certain conditions.

CombinatoricsAlgebraComputational MathematicsAlgebra and Number TheoryMathematicsCalcolo
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On complexity and motion planning for co-rank one sub-Riemannian metrics

2004

In this paper, we study the motion planning problem for generic sub-Riemannian metrics of co-rank one. We give explicit expressions for the metric complexity (in the sense of Jean (10,11)), in terms of the elementary invariants of the problem. We construct asymptotic optimal syntheses. It turns out that among the results we show, the most complicated case is the 3-dimensional. Besides the generic C ∞ case, we study some non-generic generalizations in the analytic case.

CombinatoricsAlgebraComputational MathematicsControl and OptimizationRank (linear algebra)Control and Systems EngineeringMetric (mathematics)Motion planningConstruct (python library)MathematicsESAIM: Control, Optimisation and Calculus of Variations
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Nonlocal Quantum XOR Games for Large Number of Players

2010

Nonlocal games are used to display differences between classical and quantum world In this paper, we study nonlocal games with a large number of players We give simple methods for calculating the classical and the quantum values for symmetric XOR games with one-bit input per player, a subclass of nonlocal games We illustrate those methods on the example of the N-player game (due to Ardehali [Ard92]) that provides the maximum quantum-over-classical advantage.

CombinatoricsAlgebraComputer Science::Computer Science and Game TheoryQuantum pseudo-telepathySimple (abstract algebra)TheoryofComputation_LOGICSANDMEANINGSOFPROGRAMSComputingMilieux_PERSONALCOMPUTINGTheoryofComputation_GENERALQuantum worldQuantumMathematics
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Baer cones in finite projective spaces

1987

Let R and V be two skew subspaces with dimensions r and v of P=PG(d,q). If q is a square, then there is a Baer subspace V* of V, i.e. a subspace of dimension v and order √q. We call the set C(R,V*)=\(\mathop \cup \limits_p \), where the union is taken over all PeV*, aBaer cone oftype (r,v).

CombinatoricsAlgebraDimension (vector space)Cone (topology)Projective spaceOrder (ring theory)Geometry and TopologyLinear subspaceSubspace topologySquare (algebra)MathematicsJournal of Geometry
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ZEROS OF CHARACTERS ON PRIME ORDER ELEMENTS

2001

Suppose that G is a finite group, let χ be a faithful irreducible character of degree a power of p and let P be a Sylow p-subgroup of G. If χ(x) ≠ 0 for all elements of G of order p, then P is cyclic or generalized quaternion. * The research of the first author is supported by a grant of the Basque Government and by the University of the Basque Country UPV 127.310-EB160/98. † The second author is supported by DGICYT.

CombinatoricsAlgebraFinite groupAlgebra and Number TheoryCharacter (mathematics)Degree (graph theory)Sylow theoremsOrder (group theory)QuaternionMathematicsCommunications in Algebra
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