关于G-代数的广义膨胀的几个结论
On the Generalized Inflated G-Algebras
DOI: 10.12677/PM.2013.31016, PDF, HTML, 下载: 3,195  浏览: 8,463  国家自然科学基金支持
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(内)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。
Abstract: 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. 关于G-代数的广义膨胀的几个结论[J]. 理论数学, 2013, 3(1): 101-106. http://dx.doi.org/10.12677/PM.2013.31016

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