The unit group of group algebra $F_qSL(2;Z_3)$

Year 2016, Volume: 3 Issue: 1, 1 - 6, 11.01.2016

Swati Maheshwari R. K. Sharma

https://doi.org/10.13069/jacodesmath.83854

Cited By: 7

https://izlik.org/JA29PU58UX

Abstract

Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$.  Let $ SL(2,\Z_3)$ be the special linear group of $2\times2$ matrices with determinant $1$ over $\Z_3$. In this note we establish the structure of the unit group of $\F_q SL(2,\Z_3)$.

Keywords

Group algebra , Unit group , Finite field

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