2022
DOI: 10.1186/s42787-022-00151-0
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Unit group of some finite semisimple group algebras

Abstract: We provide the structure of the unit group of $${\mathbb {F}}_{p^k}S_n$$ F p k S n , where $$p>n$$ p > n … Show more

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Cited by 2 publications
(11 citation statements)
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“…The unit groups of the group algebras of non-metabelian groups up to order 72 were described by Mittal et al in [16]. Further, Sharma et al determined the unit group of the semisimple group algebra (SGA) of the respective groups SL(2, 3) (special linear group over the finite field of 3 elements) and SL (2,5) (See [11] and [19]). In continuation, Sivaranjani et al [21] determined the unit group of the SGA of the group SL (2,7).…”
Section: Introductionmentioning
confidence: 99%
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“…The unit groups of the group algebras of non-metabelian groups up to order 72 were described by Mittal et al in [16]. Further, Sharma et al determined the unit group of the semisimple group algebra (SGA) of the respective groups SL(2, 3) (special linear group over the finite field of 3 elements) and SL (2,5) (See [11] and [19]). In continuation, Sivaranjani et al [21] determined the unit group of the SGA of the group SL (2,7).…”
Section: Introductionmentioning
confidence: 99%
“…Further, Sharma et al determined the unit group of the semisimple group algebra (SGA) of the respective groups SL(2, 3) (special linear group over the finite field of 3 elements) and SL (2,5) (See [11] and [19]). In continuation, Sivaranjani et al [21] determined the unit group of the SGA of the group SL (2,7). In addition, Arvind et al [1] investigated the unit group of the SGA of the group SL(3, Z 2 ).…”
Section: Introductionmentioning
confidence: 99%
See 3 more Smart Citations