Units in finite dihedral and quaternion group algebras

Units in finite dihedral and quaternion group algebras

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.

Bibliographic Details
Main Authors: Neha Makhijani, R.K. Sharma, J.B. Srivastava
Format: Article
Language:English
Published: SpringerOpen 2016-01-01
Series:Journal of the Egyptian Mathematical Society
Subjects:
Group algebra
Unit group
Wedderburn decomposition
Jacobson radical
Online Access:http://www.sciencedirect.com/science/article/pii/S1110256X14001023

Internet

http://www.sciencedirect.com/science/article/pii/S1110256X14001023

Similar Items