Elementary Proofs of Some Results on Representations of p-Groups

TitleElementary Proofs of Some Results on Representations of p-Groups
Publication TypeTechnical Report
Year of Publication1995
AuthorsM. Shokrollahi, A.
Other Numbers994

A result of Roquette states that if D is an absolutely irreducible representation of a p-group G over the field of complex numbers, then D can be realized in K(?(g) | g in G), where ? is the character of D and K=Q or K=Q(i) according to whether p=2 or not. Based on Baum and Clausen's algorithm for computing the irreducible representations of supersolvable groups, we give an elementary proof of a theorem which, among other well-known facts on representations of p-groups, implies Roquette's result.

Bibliographic Notes

ICSI Technical Report TR-95-054

Abbreviated Authors

M. A. Shokrollahi

ICSI Publication Type

Technical Report