中北大学学报（自然科学版）2017，Vol.38Issue(1)：27-30,4.DOI:10.3969/j.issn.1673-3193.2017.01.006
Huppert可裂性定理的一个推广
A Generalization of Huppert's Splitting Theorem
摘要
Abstract
The problem concerning when a finite group is splitting over a normal subgroup is studied and the famous Huppert's splitting theorem of p-version is generalized toπ-version.A detailed proof is sup-plied and a broader splitting criterion is obtained.The proof used the classical Gaschütz theorem and the transfer homomorphism.The main idea of the proof is from special to general.Finally,as applications of the theorem,unified and simplified proofs of some classical theorems in the theory of transfer are giv-en.关键词
可裂性/正规子群/π-商群/交换π-商群Key words
splitting/normal subgroup/π-quotient/abelian π-quotient分类
数理科学引用本文复制引用
贾婷婷,郝成功..Huppert可裂性定理的一个推广[J].中北大学学报（自然科学版）,2017,38(1):27-30,4.基金项目
山西省自然科学基金资助项目(201601D011006) （201601D011006）
