| 关于导群循环的有限p-群的整群环的自同构群 |
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| 引用本文： | 崔艳敏,海进科.关于导群循环的有限p-群的整群环的自同构群[J].青岛大学学报(自然科学版),2011,24(4):29-32. |
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| 作者姓名： | 崔艳敏 海进科 |
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| 作者单位： | 青岛大学数学科学学院,山东青岛,266071 |
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| 基金项目： | 山东省高等学校科技计划(JI0LA05) |
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| 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矿群G是E．R．群。
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| 关 键 词： | E．R．群 亚Abel群 导群 有限p-群 |
On the Automorphism Group of the Integral Group Ring ofFinite P-group with Cyclic Commutator Subgroup |
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| CUI Yan-min,HAI Jin-ke.On the Automorphism Group of the Integral Group Ring ofFinite P-group with Cyclic Commutator Subgroup[J].Journal of Qingdao University(Natural Science Edition),2011,24(4):29-32. |
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| Authors: | CUI Yan-min HAI Jin-ke |
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| Institution: | CUI Yan-min,HAI Jin-ke(College of Mathematics,Qingdao University,Qingdao 266071,China) |
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| Abstract: | 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 |
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| Keywords: | E R group metabel group commutator group finite p-group |
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