关于导群循环的有限p-群的整群环的自同构群  

On the Automorphism Group of the Integral Group Ring ofFinite P-group with Cyclic Commutator Subgroup

作　　者：崔艳敏[1] 海进科[1] 

机构地区：[1]青岛大学数学科学学院

出　　处：《青岛大学学报（自然科学版）》2011年第4期29-32,共4页Journal of Qingdao University(Natural Science Edition)

基　　金：山东省高等学校科技计划(JI0LA05)

摘　　要：设G是有限群,p总是一个素数。我们已经得到:导群的阶为素数的有限群为E.R.群,从而进一步得到:有限群为E.R.群的两个充分条件。在这篇注记中,我们将结论进一步推广,证明了:导群循环的二元生成的有限p-群G是E.R.群。Suppose G is a finite group, p is always a prime number. We have proved that the finite group G is a E.R. group when the order of its commutator subgroup is a prime number, so we got two sufficient conditions of a finite group to be a E. R. group. In this note, we extend these results and prove that finite p-group with cyclic commutator subgroup G is a E.R. group, here G is generated by two elements

关 键 词：E.R.群 亚Abel群 导群 有限P-群 

分 类 号：O152.6[理学—数学]