A note on units in $\mathbb{F}_q SL(2, \mathbb{Z}_3)$

• Datum: 2021
• Hauptverfasser: Maheshwari , S., Sharma , R. K., MAHESHWARI, SWATI, SHARMA, R. K.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2021
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/588
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.5 Let $R$ be a ring, and $ SL(2,R)$ be the special linear group of $2\times2$ matrices with determinant $1$ over $R$. We obtain the Wedderburn decomposition of$\dfrac{\mathbb{F}_q SL(2,\mathbb{Z}_3)}{J(\mathbb{F}_q SL(2,\mathbb{Z}_3))}$ and show that $ 1+J(\mathbb{F}_q SL(2,\mathbb{Z}_3))$ i...