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Radical extensions and crossed homomorphisms

Published online by Cambridge University Press:  17 April 2009

Fernando Barrera-Mora  and
Pablo Lam-Estrada
Fernando Barrera-Mora
Affiliation:
Departamento de Matemáticas, Escuela Superior de Física y Matemáticas del I.P.N., Edificio 9 Unidad Profesional ALM, Zacatenco, CP 07300 México, D.F., México e-mail: barrera@esfm.ipn.mxplam@esfm.ipn.mx
Pablo Lam-Estrada
Affiliation:
Departamento de Matemáticas, Escuela Superior de Física y Matemáticas del I.P.N., Edificio 9 Unidad Profesional ALM, Zacatenco, CP 07300 México, D.F., México e-mail: barrera@esfm.ipn.mxplam@esfm.ipn.mx
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Abstract

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If Ω/F is a Galois extension with Galois G and μ(Ω) denotes the group of roots of unity in Ω, we use the group Z1 (G,μ(Ω)) of crossed homomorphisms to study radical extensions inside Ω. Furthermore, we characterise cubic radical extension, and we provide an example to show that this result can not extended for higher degree extensions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 64 , Issue 1 , August 2001 , pp. 107 - 119
Copyright
Copyright © Australian Mathematical Society 2001

References

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