Search results for "Cycle graph"

showing 7 items of 7 documents

Two groups with isomorphic group algebras

1990

CombinatoricsClassification of Clifford algebrasGroup isomorphismDicyclic groupGeneral MathematicsSimple groupQuaternion groupCyclic groupCycle graph (algebra)MathematicsNon-abelian groupArchiv der Mathematik
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Finite groups with subgroups supersoluble or subnormal

2009

Abstract The aim of this paper is to study the structure of finite groups whose non-subnormal subgroups lie in some subclasses of the class of finite supersoluble groups.

CombinatoricsMathematics::Group TheoryClass (set theory)Algebra and Number TheoryGroup of Lie typeLocally finite groupStructure (category theory)CA-groupCycle graph (algebra)Finite groupsSupersoluble groupsSoluble groupsMathematicsJournal of Algebra
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On the Soluble Graph of a Finite Simple Group

2013

The maximal independent sets of the soluble graph of a finite simple group G are studied and their independence number is determined. In particular, it is shown that this graph in many cases has an independent set with three vertices.

Discrete mathematicsCombinatoricsAlgebra and Number TheoryGraph powerCycle graphVoltage graphCubic graphStrength of a graphNull graphDistance-regular graphComplement graphMathematicsCommunications in Algebra
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Highly irregular graphs with extreme numbers of edges

1997

Abstract A simple connected graph is highly irregular if each of its vertices is adjacent only to vertices with distinct degrees. In this paper we find: (1) the greatest number of edges of a highly irregular graph with n vertices, where n is an odd integer (for n even this number is given in [1]), (2) the smallest number of edges of a highly irregular graph of given order.

Discrete mathematicsPseudoforestHighly irregular graphEdge-graceful labelingTheoretical Computer ScienceHypercube graphCombinatoricsCycle graphDiscrete Mathematics and CombinatoricsPath graphMultiple edgesComplement graphMathematicsofComputing_DISCRETEMATHEMATICSMathematicsDiscrete Mathematics
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On a class of generalised Schmidt groups

2015

In this paper families of non-nilpotent subgroups covering the non-nilpotent part of a finite group are considered. An A 5 -free group possessing one of these families is soluble, and soluble groups with this property have Fitting length at most three. A bound on the number of primes dividing the order of the group is also obtained.

Group (mathematics)Applied MathematicsMathematics::Rings and AlgebrasGrups Teoria deCycle graph (algebra)Sporadic groupFinite groupsNon-abelian groupCombinatoricsMathematics::Group TheoryGroup of Lie typeLocally finite groupSimple groupNilpotent groupsMaximal subgroupsOrder (group theory)ÀlgebraMATEMATICA APLICADAMathematics::Representation TheoryMathematicsAnnali di Matematica Pura ed Applicata (1923 -)
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A class of finite groups having nilpotent injectors

1986

AbstractThe purpose of this paper is to construct a class of groups which properly contains the class of N-constrained groups, and which is such that all groups in this class have N-injectors.

Discrete mathematicsPure mathematicsNilpotentClass (set theory)Group of Lie typeGeneral MedicineCA-groupCycle graph (algebra)Nilpotent groupMathematicsNon-abelian groupJournal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
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On the loewy series of the group algebra of groups of smallp-Length∗

1989

(1989). On the loewy series of the group algebra of groups of small p-Length. Communications in Algebra: Vol. 17, No. 5, pp. 1249-1274.

AlgebraCombinatoricsAlgebra and Number TheorySeries (mathematics)Quaternion groupGroup algebraAlgebra over a fieldCycle graph (algebra)Z-groupMathematicsGroup ringCommunications in Algebra
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