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_p(G)thenumberofSylowp-subgroupsofafinitegroupG.Itisnothardtoseethatn_p(H)isnotgreaterthann_p(G)foreverysubgroupHofG.Howeveringeneraln_p(H)doesnotdividen_p(G).Weshowthatn_p(H)dividesn_p(G)foreverysubgroupHofafinitegroupGifforeverynonabeliancompositionfactorthesamepropertyholds.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
