置換群（影印版）

定　價：￥53.00

作　者：	J.D.Dixon,B.Mortimer
出版社：	北京世圖
叢編項：	Graduate Texts in Mathematics
標　簽：	群與組合編碼

ISBN：	9787506233019	出版時間：	2004-06-01	包裝：	平裝
開本：	32開	頁數(shù)：	346	字數(shù)：

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圖書目錄

Preface
Notation
1.TheBasicIdeas
1.1.Symmetry
1.2.SymmetricGroups
1.3.GroupActions
1.4.OrbitsandStabilizers
1.5.BlocksandPrimitivity
1.6.PermutationRepresentationsandNormalSubgroups
1.7.OrbitsandFixedPoints
1.8.SomeExamplesfromtheEarlyHistoryofPermutationGroups
1.9.Notes
2.ExamplesandConstructions
2.1.Actionsonk-tuplesandSubsets
2.2.AutomorphismGroupsofAlgebraicStructures
2.3.Graphs
2.4.Relations
2.5.SemidirectProducts
2.6.WreathProductsandImprimitiveGroups
2.7.PrimitiveWreathProducts
2.8.AffineandProjectiveGroups
2.9.TheTransitiveGroupsofDegreeatMost7
2.10.Notes
3.TheActionofaPermutationGroup
3.1.Introduction
3.2.OrbitsoftheStabilizer
3.3.MinimalDegreeandBases
3.4.FrobeniusGroups
3.5.PermutationGroupsWhichContainaRegularSubgroup
3.6.ComputinginPermutationGroups
3.7.Notes
4.TheStructureofaPrimitiveGroup
4.1.Introduction
4.2.CentralizersandNormalizersintheSymmetricGroup
4.3.TheSocle
4.4.SubnormalSubgroupsandPrimitiveGroups
4.5.ConstructionsofPrimitiveGroupswithNonregularSocles
4.6.FinitePrimitiveGroupswithNonregulaxSocles
4.7.PrimitiveGroupswithRegularSocles
4.8.ApplicationsoftheO'Nan-ScottTheorem
4.9.Notes
5.BoundsonOrdersofPermutationGroups
5.1.OrdersofElements
5.2.SubgroupsofSmallIndexinFiniteAlternatingandSymmetricGroups
5.3.TheOrderofaSimplyPrimitiveGroup
5.4.TheMinimalDegreeofa2-transitiveGroup
5.5.TheAlternatingGroupasaSectionofaPermutationGroup
5.6.BasesandOrdersof2-transitiveGroups
5.7.TheAlternatingGroupasaSectionofaLinearGroup
5.8.SmallSubgroupsofSn
5.9.Notes
6.TheMathieuGroupsandSteinerSystems
6.1.TheMathieuGroups
6.2.SteinerSystems
6.3.TheExtensionofAG2(3)
6.4.TheMathieuGroupsM11andM12
6.5.TheGeometryofPG2(4)
6.6.TheExtensionofPG2(4)andtheGroupM22
6.7.TheMathieuGroupsM23andM24
6.8.TheGeometryofW24
6.9.Notes
7.MultiplyTransitiveGroups
7.1.Introduction
7.2.NormalSubgroups
7.3.LimitstoMultipleTransitivity
7.4.JordanGroups
7.5.TransitiveExtensions
7.6.Sharplyk-transitiveGroups
7.7.TheFinite2-transitiveGroups
7.8.Notes
8.TheStructureoftheSymmetricGroups
8.1.TheNormalStructureofSym()
8.2.TheAutomorphismsofSym()
8.3.SubgroupsofFSyra()
8.4.SubgroupsofSmallIndexinSym()
8.5.MaximalSubgroupsoftheSymmetricGroups
8.6.Notes
9.ExamplesandApplicationsofInfinitePermutationGroups
9.1.TheConstructionofaFinitelyGeneratedInfinitep-group
9.2.GroupsActingonTrees
9.3.HighlyTransitiveFreeSubgroupsoftheSymmetricGroup
9.4.HomogeneousGroups
9.5.AutomorphismsofRelationalStructures
9.6.TheUniversalGraph
9.7.Notes
AppendixA.ClassificationofFiniteSimpleGroups
AppendixB.ThePrimitivePermutationGroupsof
DegreeLessthan1000
References
Index