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We provide the structure of the unit group of $\f_{p^k}(\SL(3,2))$, where$p\geq 11$ is a prime and $\SL(3,2)$ denotes the $3\times 3$ invertiblematrices over $\f_2$.

Unit group of $\f_{p^k}\SL(3,2),p\geq 11$