On Structure Of Unitary Unit Group Of F2 K 31+2

Abstract

On Structure of Unitary Unit Group of F2k 31+2 In this thesis, we have constructed the group ring matrix of group algebra F2k 31+2. On the basis of this matrix, the center of unitary unit group have been established and then order of unitary unit group has also been computed. By making use of conjugacy classes of the group 31+2 a basis of center of the group algebra F2k 31+2 have been computed. Inside this center, we found the center of V* (F2k 31+2) by using brute force. The basis of minimal ideals of V* (F2k 31+2) have been computed by using GAP. The dimensions for augmentation ideal and Jacobson radical of F2k 31+2 has also been computed by GAP.