Title of article :
THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS D 3 0 D 30 and C 3 × D 1 0 C 3 ×D 10 OVER A FINITE FIELD OF CHARACTERISTIC 3 3
Author/Authors :
Sahai, Meena Department of Mathematics and Astronomy - University of Lucknow, India , Farhat Ansari, Sheere Department of Mathematics and Astronomy - University of Lucknow, India
Abstract :
Let F be a finite field of characteristic p. There are three nonisomorphic non-abelian groups of order 30. The structure of U(F(C5×D6)) for
p = 3 is given in [J. Gildea and R. Taylor, Int. Electron. J. Algebra, 24 (2018),
62-67]. In this article, we give the structure of U(F D30) and U(F(C3 × D10))
for p = 3.
Keywords :
Group ring , unit group , dihedral group
Journal title :
International Electronic Journal of Algebra
