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Characterisations of Galois extensions of prime cubed degree
Published online by Cambridge University Press: 17 April 2009
Abstract
Let p be a prime number and let k be a field of characteristic not equal to p. Assuming k contains the appropriate roots of unity, we characterise the non-cyclic Galois extensions of k of degree p3. Concrete examples of such extensions are given for each possible case which can occur, up to isomorphism.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 99 - 112
- Copyright
- Copyright © Australian Mathematical Society 1997
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