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

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.

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