Iranian Mathematical Society Journal of the Iranian Mathematical Society 2717-1612 5 1 2024 01 01 The unit group of the group algebra $\mathbb{F}_qD_{36}$ 45 53 187272 10.30504/jims.2024.405833.1131 EN R. K. Sharma Department of‎ ‎Mathematics, Indian Institute of Technology Delhi, New Delhi-110016‎, ‎India‎. Y. Kumar Department of‎ ‎Mathematics, Indian Institute of Technology Delhi, New Delhi-110016‎, ‎India‎. Journal Article 2023 07 07 Abstract. Let p be a prime number and Fq be a finite field having q = pn elements and D36 be the dihedral group of order 36. The unit group U(FqD36), of the group algebra FqD36, has been completely characterized. https://jims.ims.ir/article_187272_5ab5d94df22847e3935c9bd798c70ccf.pdf