关于非互质正则模问题的一个注记
A short note on the noncoprime regular module problem
摘要:
考虑了一种特殊的构形,其中有限群$A$通过自同构作用在有限群$G$上,半直积$GA$通过线性变换作用在向量空间$V$上,并讨论了$V_{_{A}}$中正则$A$ -模的存在性.
英文摘要:
We consider a special configuration in which a finite group $A$ acts by automorphisms on the finite group $G$, and the semidirect product $GA$ acts on the vector space $V$ by linear transformations; and discuss the existence of the regular $A$-module in $V_{_{A}}$.
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