二元生成的Schottky群的一些性質(zhì).pdf

1、湖南大學(xué)碩士學(xué)位論文二元生成的Schottky群的一些性質(zhì)姓名：劉玲申請學(xué)位級別：碩士專業(yè)：應(yīng)用數(shù)學(xué)指導(dǎo)教師：蔣月評20070517碩士學(xué)位論文AbstractThemainpurposeofthisthesisistoinvestigatethepropertiesofSchottkygroupsofgenustwo.SchottkygroupsisaclassofimptantMobiusgroupsalsoitisaclassof

2、specialKleingroups.AsfthepropertiesofSchottkygroupsofgenustwothisthesisstudiesitspropertiesfromtwoaspects.Ononehaccdingtothevalueoft1t2ρwedividethegroupsintoeightclassesfirstlythenwkoutthedifferentfmsofJφrgensen’snumbers

3、ofthethirdthesixththeeighth.Wegettodeducethetheemsofequivalenceaccdingtotheacteristicsofthesethreeclasses.OntheotherhwecandeducetherelationofdifferentSchottkygroupsbyusingthedefinitionofNielseninversetransfmationstudythe

4、hyperbolictransfmationsofthethirdthesixththeeighth.Thethesishasfiveparts.Chapter1providesthebackgroundinfmationsignificanceprogressaboutSchottkygroupsofgenustwointroducestheganizationofthewholethesis.Chapter2introducesth

5、ebasicconceptspropertiesofSchottkygroupsofgenustwoincludingthedefinitionsofSchottkygroupsMobiusgroupsect.theseareusedfthelatter.Chapter3investigatestherelationshipsamongt1t2ρinNielseninversetransfmation.Furthermeitdiscov

6、ersthatthemappingN?1jthemappingNjhavethesamefunctionont1t1ρwherej=12.Chapter4introducesJφrgensen’snumbersofSchottkygroupsofthreetypespresentstheconcretefms.Chapter5studiestherelationshipsamongthreeclassesofSchottkygroups