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On the unit group of a semisimple group algebra $\mathbb {F}_qSL(2, \mathbb {Z}_5)$
Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 1-10
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We give the characterization of the unit group of $\mathbb {F}_qSL(2, \mathbb {Z}_5)$, where $\mathbb {F}_q$ is a finite field with $q = p^k$ elements for prime $p > 5,$ and $SL(2, \mathbb {Z}_5)$ denotes the special linear group of $2 \times 2$ matrices having determinant $1$ over the cyclic group $\mathbb {Z}_5$.
We give the characterization of the unit group of $\mathbb {F}_qSL(2, \mathbb {Z}_5)$, where $\mathbb {F}_q$ is a finite field with $q = p^k$ elements for prime $p > 5,$ and $SL(2, \mathbb {Z}_5)$ denotes the special linear group of $2 \times 2$ matrices having determinant $1$ over the cyclic group $\mathbb {Z}_5$.
DOI : 10.21136/MB.2021.0104-20
Classification : 16U60, 20C05
Keywords: unit group; finite field; Wedderburn decomposition 
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Sharma, Rajendra K.; Mittal, Gaurav. On the unit group of a semisimple group algebra $\mathbb {F}_qSL(2, \mathbb {Z}_5)$. Mathematica Bohemica, Tome 147 (2022) no. 1, pp. 1-10. doi: 10.21136/MB.2021.0104-20

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