Units in finite dihedral and quaternion group algebras

Journal of the Egyptian Mathematical Society

关键词: Group algebra;    Unit group;    Wedderburn decomposition;    Jacobson radical;   

DOI  :  10.1016/j.joems.2014.08.001

来源: DOAJ

【 摘 要 】

Let FqG be the group algebra of a finite group G over Fq=GF(q). Using the Wedderburn decomposition of F2kD2n/J(F2kD2n), we establish the structure of the unit group of F2kG when G is either D4n, the dihedral group of order 4n or Q4n, the generalized quaternion group of order 4n,n odd.

【 授权许可】

Unknown