14234.有限群的coleman自同構(gòu)群

1、分類號：分類號：O152.6密級：密級：公開UDC：51學(xué)校代碼：學(xué)校代碼：11065碩士學(xué)位論文有限群的有限群的Coleman自同構(gòu)群自同構(gòu)群王偉指導(dǎo)教師海進(jìn)科教授學(xué)科專業(yè)名稱應(yīng)用數(shù)學(xué)論文答辯日期2016年5月31日AbstractColemanautomphismbeganwithstudiedthenmalizationproblemofthegroupGwhichisintheunitsgroupU(RG)ofgroupring

2、RG.InotherwdstheproblemaboutColemanautomphismsoffinitegroupsareinnerautomphismsisstudied.InthisthesisthroughindepthstudyofColemanautomphismaboutfinitegroups.DiscussedthecircumstancesthatexpansionoftwogroupswhichColemanau

3、tomphismsareinnerautomphismstheColemanautomphismstillisinnerautomphism.FirstlygivenanexamplethatexistinggroupaftertheexpansionoftwogroupsbutitsColemanautomphismisnotinnerautomphism.Inthethirdchapterstudiedtheexpansionofs

4、implegroupbycertaingroupsthegroupsColemanautomphismsareinnerautomphisms.InthefourthchapterstudiedtheexpansionofminimalnmalsubgroupbycertaingroupsthegroupsColemanautomphismsareinnerautomphisms.Inthefifthchapterstudiedthee

5、xpansionofnilpotentgroupbycertaingroupsthegroupsColemanautomphismsareinnerautomphisms.FinallytheapplicationofprojectedlimitinColemanautomphismgroupisstudied.Keywd：automphismColemanautomphismsimplegroupminimalnmalsubgroup