青岛大学学报（自然科学版）2017，Vol.30Issue(4)：10-12,18,4.DOI:10.3969/j.issn.1006-1037.2017.11.03
有限群转移理论在相关正规补中的应用
The Application of Transfer Theory of Finite Group in Relative Normal Complement
摘要
Abstract
To study the conditions for the existence of related normal complement of subgroup of finite groups has always been an important subject.Based on the research of transfer theory and normal complements of finite group,it was gived the relation of transfer homomorphism of finite groups and the existence of related normal complement of subgroup of finite groups:using the transfer homomorphisms to research the related normal complement.The necessary condition for the existence of a normal complement of the Hall π-subgroup the focal-subgroup of finite groups was obtained in regard to.For the Hall π-subgroup of finite π-separable group,if this subgroup is also the subgroup of the center of its centralizer,then this subgroup has a normal complement in this finite π-separable group.This result shows another way of proving the Burnside theorem.关键词
转移同态/正规补/相关正规补Key words
transfer homomorphism/normal complement/relative normal complement分类
数理科学引用本文复制引用
王玉萍,海进科..有限群转移理论在相关正规补中的应用[J].青岛大学学报（自然科学版）,2017,30(4):10-12,18,4.基金项目
山东省自然科学基金(批准号:ZR2016AM21)资助. （批准号:ZR2016AM21）
