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

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...

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Bibliographic Details
Date:2021
Main Authors: Maheshwari , S., Sharma , R. K., MAHESHWARI, SWATI, SHARMA, R. K.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/588
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal