群論教程

定　價(jià)：￥76.00

作　者：	美Derek J.S.Robinson著
出版社：	世界圖書(shū)出版公司北京公司
叢編項(xiàng)：	Graduate Texts in Mathematics
標(biāo)　簽：	群表示論

購(gòu)買(mǎi)這本書(shū)可以去

中國(guó)圖書(shū)網(wǎng)

ISBN：	9787506201100	出版時(shí)間：	2000-12-01	包裝：	簡(jiǎn)裝本
開(kāi)本：	20cm	頁(yè)數(shù)：	481	字?jǐn)?shù)：

內(nèi)容簡(jiǎn)介

　　A group is defin

作者簡(jiǎn)介

暫缺《群論教程》作者簡(jiǎn)介

圖書(shū)目錄

Preface
Notation
Chapter1
FundamentalConceptsofGroupTheory
1.1BinaryOperations,Semigroups,andGroups
1.2ExamplesofGroups
1.3SubgroupsandCosets
1.4HomomorphismsandQuotientGroups
1.5EndomorphismsandAutomorphisms
1.6PermutationGroupsandGroupActions
Chapter2
FreeGroupsandPresentations
2.1FreeGroups
2.2PresentationsofGroups
2.3VarietiesofGroups
Chapter3
DecompositionsofaGroup
3.1SeriesandCompositionSeries
3.2SomeSimpleGroups
3.3DirectDecompositions
Chapter4
AbelianGroups
4.1TorsionGroupsandDivisibleGroups
4.2DirectSumsofCyclicandQuasicyclicGroups
4.3PureSubgroupsandp-groups
4.4Torsion-freeGroups
Chapter5
SolubleandNilpotentGroups
5.1AbelianandCentralSeries
5.2NilpotentGroups
5.3GroupsofPrime-PowerOrder
5.4SolubleGroups
Chapter6
FreeGroupsandFreeProducts
6.1FurtherPropertiesofFreeGroups
6.2FreeProductsofGroups
6.3SubgroupsofFreeProducts
6.4GeneralizedFreeProducts
Chapter7
FinitePermutationGroups
7.1MultipleTransitivity
7.2PrimitivePermutationGroups
7.3ClassificationofSharplyk-transitivePermutationGroups
7.4TheMathieuGroups
Chapter8
RepresentationsofGroups
8.1RepresentationsandModules
8.2StructureoftheGroupAlgebra
8.3Characters
8.4TensorProductsandRepresentations
8.5ApplicationstoFiniteGroups
Chapter9
FiniteSolubleGroups
9.1Halln-subgroups
9.2SylowSystemsandSystemNormalizers
9.3p-solubleGroups
9.4SupersolubleGroups
9.5Formations
Chapter10
TheTransferandItsApplications
10.1TheTransferHomomorphism
10.2Griin,sTheorems
10.3Frobenius'Criterionforp-nilpotence
10.4Thompson'sCriterionforp-nilpotence
10.5Fixed-point-freeAutomorphisms
Chapter11
TheTheoryofGroupExtensions
11.1GroupExtensionsandCoveringGroups
11.2HomologyGroupsandCohomologyGroups
11.3TheGruenbergResolution
11.4Group-theoreticInterpretationsofthe(Co)homologyGroups
Chapter12
GeneralizationsofNilpotentandSolubleGroups
12.1LocallyNilpotentGroups
12.2SomeSpecialTypesofLocallyNilpotentGroups
12.3EngelElementsandEngelGroups
12.4ClassesofGroupsDefinedbyGeneralSeries
12.5LocallySolubleGroups
Chapter13
SubnormalSubgroups
13.1JoinsandIntersectionsofSubnormalSubgroups
13.2PermutabilityandSubnormality
13.3TheMinimalConditiononSubnormalSubgroups
13.4GroupsinWhichNormalityIsaTransitiveRelation
13.5AutomorphismTowersandCompleteGroups
Chapter14
FinitenessProperties
14.1FinitelyGeneratedGroupsandFinitelyPresentedGroups
14.2TorsionGroupsandtheBurnsideProblems
14.3LocallyFiniteGroups
14.42-groupswiththeMaximalorMinimalCondition
14.5FinitenessPropertiesofConjugatesandCommutators
Chapter15
InfiniteSolubleGroups
15.1SolubleLinearGroups
15.2SolubleGroupswithFinitenessConditionsonAbelianSubgroups
15.3FinitelyGeneratedSolubleGroupsandtheMaximalConditionon
NormalSubgroups
15.4FinitelyGeneratedSolubleGroupsandResidualFiniteness
15.5FinitelyGeneratedSolubleGroupsandTheirFrattiniSubgroups
Bibliography.
Index