What conditions are necessary to think of a finite group as $\mathbb F_p$ G-Module? $\mathbb F_p$ is a finite field with $p$ elements.
2026-04-03 19:13:54.1775243634
When would a finite group be considered as Fp G -Module?
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If (and only if) the finite group $G$ is a group of automorphisms of an elementary Abelian $p$-group $V,$ then $V$ is an $FG$ module, where $F$ is the field with $p$ elements ($p$ being prime).