Elementary Proofs of Some Results on Representations of p-Groups
| Title | Elementary Proofs of Some Results on Representations of p-Groups |
| Publication Type | Technical Report |
| Year of Publication | 1995 |
| Authors | M. Shokrollahi, A. |
| Other Numbers | 994 |
| Abstract | 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. |
| URL | http://www.icsi.berkeley.edu/ftp/global/pub/techreports/1995/tr-95-054.pdf |
| Bibliographic Notes | ICSI Technical Report TR-95-054 |
| Abbreviated Authors | M. A. Shokrollahi |
| ICSI Publication Type | Technical Report |