 On the number of Sylow subgroups in finite groups主讲教师:Evgeny Vdovin 人气:383 更新时间: 2017年05月08日Abstract:Denotebyn_pGthenumberofSylowp-subgroupsofafinitegroupG.Itisnothardtoseethatn_pHisnotgreaterthann_pGforeverysubgroupHofG.Howeveringeneraln_pHdoesnotdividen_pG.Weshowthatn_pHdividesn_pGforeverysubgroupHofafinitegroupGifforeverynonabeliancompositionfactorthesamepropertyholds.Carter subgroups in finite groups主讲教师:Evgeny Vdovin 人气:359 更新时间: 2017年03月23日摘要:Reallthatanilpotentself-normalizingsubgroupofafinitegroupiscalledaCartersubgroup.ClassicalresultbyCarterstatesthatinfinitesolvablegroupsCartersubgroupsalwaysexistandconjugate.WediscusstheconjugacyandexistenceofCartersubgroupsinarbitrarygroupsandalsoderivesomecorollaries课件总访问人次:11055242 