The unit group of the group algebra $\mathbb{F}_qD_{36}$

نویسندگان
Kumar, Y. ID 1
Sharma, R. K. ID 2

1 Department of‎ ‎Mathematics, Indian Institute of Technology Delhi, New Delhi-110016‎, ‎India‎.

2 Department of‎ ‎Mathematics, Indian Institute of Technology Delhi, New Delhi-110016‎, ‎India‎.

doi
10.30504/jims.2024.405833.1131
چکیده

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.

کلیدواژه‌ها
Group Algebra, Wedderburn Decomposition, Unit Group, Dihedral group