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In this article we study support $\tau$-tilting modules, semibricks and moreover blocks of group algebras. Let $k$ be an algebraically closed field ofcharacteristic $p>0$, $\tilde{G}$ a finite group and $G$ a normal subgroup of$\tilde{G}$. Moreover, let $\tilde{B}$ be a block of $k\tilde{G}$ and $B$ ablock of $kG$ covered by $\tilde{B}$. We show that, under certain conditionsfor the factor group $\tilde{G}/G$ and $B$, induced modules and extendingmodules of support $\tau$-tilting modules and semibricks over $B$ are also theones over $\tilde{B}$, respectively.

Induced modules of support $\tau$-tilting modules and extending modules of semibricks over blocks of finite groups