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Explicit Classifications of Some 2-Extensions of a Field of Characteristic Different from 2

Published online by Cambridge University Press:  20 November 2018

Ian Kiming
Ian Kiming*
Affiliation:
Inst. for Experimental Math., Ellernstraβe 29, 4300 Essen, Germany
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Let p be a prime number. Let k be a field of characteristic different from p and containing the p-th roots of unity. Let be a finite group. Let L/k be a finite normal extension with Galois group and let c be a 2-cocycle on with coefficients in , where acts trivially on By Emb(L/k, c) we denote the question of the existence of a finite normal extension M of k, such that M contains L, such that [M: L] = p, and such that, denoting by the Galois group of M/k, the extension is given by the class of c.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 42 , Issue 5 , 01 October 1990 , pp. 825 - 855
Copyright
Copyright © Canadian Mathematical Society 1990

References

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