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A Note on Units in 𝔽Q SL (2, ℤ3)

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Ukrainian Mathematical Journal Aims and scope

Let R be a ring and let SL(2,R) be the special linear group of 2 × 2 matrices with determinant 1 over R. We obtain the Wedderburn decomposition of \( \frac{{\mathbbm{F}}_q SL\left(2,{\mathbb{Z}}_3\right)}{J\left({\mathbbm{F}}_q SL\left(2,{\mathbb{Z}}_3\right)\right)} \) and show that \( 1+J\left({\mathbbm{F}}_q SL\left(2,{\mathbb{Z}}_3\right)\right) \) is a non-Abelian group, where 𝔽q is a finite field with q = pk elements of characteristic 2 and 3.

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Authors and Affiliations

  1. KIET Group of Institutions Delhi-NCR, Ghaziabad, India

    S. Maheshwari

  2. Indian Institute of Technology, Delhi, India

    R. K. Sharma

Authors
  1. S. Maheshwari
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  2. R. K. Sharma
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Correspondence to S. Maheshwari.

Additional information

Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 73, No. 8, pp. 1147–1152, August, 2021. Ukrainian DOI: 10.37863/umzh.v73i8.588.

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Maheshwari, S., Sharma, R.K. A Note on Units in 𝔽Q SL (2, ℤ3). Ukr Math J 73, 1331–1337 (2022). https://doi.org/10.1007/s11253-022-01994-7

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  • DOI: https://doi.org/10.1007/s11253-022-01994-7

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