| 关于Frobenius群的推广形式 |
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| 作者单位： | ;1.云南民族大学数学与计算机科学学院 |
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| 摘 要： | Frobenius群在有限群理论的发展过程中有着非常重要的作用,介绍了Camina对、广义Camina对、(CI)条件及(*)条件等几种常见的Frobenius群和Frobenius核的推广形式,得到了满足(*)条件的有限群和Frobenius群及其它几种推广形式之间的关系.
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| 关 键 词： | Frobenius群 Camina对 (CI)条件 (*)条件 |
Some generalizations of Frobenius groups |
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| Affiliation: | ,School of Mathematics and Computer Science,Yunnan Minzu University |
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| Abstract: | Frobenius groups play an important role in the finite group theory. There are some generalizations of Frobenius groups. For example,Camina pairs,generalized Camina pairs,property( CI) and property( *),and so on. This paper briefly discusses those generalizations,and establishes the relations between property( *) and Camina pairs,generalized Camina pairs,property( CI),as well as Frobenius groups. |
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| Keywords: | Frobenius group Camina pair property(CI) property(*) |
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