Elementary Proofs of Some Results on Representations of P-groups
نویسنده
چکیده
A result of Roquette 3] states that if D is an absolutely irreducible representation of a p-group G over the eld of complex numbers, then D can be realized in K((g) j g 2 G), where is the character of D and K = Q or K = Q(i) according to whether p 6 = 2 or p = 2. Based on Baum and Clausen's 1] 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.
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