Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 17 (2022), 357 -- 366

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UNIT GROUPS OF GROUP ALGEBRAS ON CERTAIN QUASIDIHEDRAL GROUPS

Suchi Bhatt and Harish Chandra

Abstract. Let Fq be any finite field of characteristic p>0 having q = pn elements. In this paper, we have obtained the complete structure of unit groups of group algebras Fq[QD2k], for k = 4 and 5, for any prime p>0, where QD2k is quasidihedral group of order 2k.

2020 Mathematics Subject Classification: 20C05; 16U60.
Keywords: Group algebras; Unit groups; Jacobson radical

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Suchi Bhatt
Department of Mathematics and Scientific Computing
M. M. M. University of Technology, Gorakhpur 273010, U. P. India.
e-mail: 1995suchibhatt@gmail.com

Harish Chandra
Department of Mathematics and Scientific Computing
M. M. M. University of Technology, Gorakhpur 273010, U. P. India.
e-mails: hcmsc@mmmut.ac.in


http://www.utgjiu.ro/math/sma