理论数学

Vol.3 No.1 (January 2013)

关于G-代数的广义膨胀的几个结论
On the Generalized Inflated G-Algebras

 

作者:

黄文林 :中国人民大学信息学院

 

关键词:

G-代数广义膨胀块覆盖块控制亏群G-Algebra Generalized Inflated Block Cover Block Control Defect Group

 

摘要:

在本文中,我们借助G-代数的()张量积定义了广义膨胀G-代数这个概念,得到了广义膨胀G-代数是局部G-代数的充要条件,推广了关于块覆盖和块控制的相应结论,我们还得到了关于广义膨胀G-代数的亏群的一个刻画。

We defined the generalized inflated G-algebra, and obtained the necessary and sufficient condition for the local generalized inflated G-algebra. We also studied the blocks of finite groups and that of its factor groups with the inflated G-algebra, and hence promoted the results on the block cover and the block control, moreover, we characterized the defected group of the generalized inflated G-algebra.

文章引用:

黄文林 (2013) 关于G-代数的广义膨胀的几个结论。 理论数学, 3, 101-106. doi: 10.12677/PM.2013.31016

 

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