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The Galois group of f(xr)

Published online by Cambridge University Press:  18 May 2009

S. D. Cohen  and
W. W. Stothers
S. D. Cohen
Affiliation:
Department Of Mathematics, University Of Glasgow, Glasgow G12 8QW, Scotland
W. W. Stothers
Affiliation:
Department Of Mathematics, University Of Glasgow, Glasgow G12 8QW, Scotland
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Let f(x) be an irreducible polynomial of degree n with coefficients in a field L and r be an integer prime to the characteristic of L. The object of this paper is to describe the galois group g of f(xr) over L when the galois group G of f(x) itself over L is either the full symmetric group Snor the alternating group An. We shall call f standard if G = Sn or An with |G|>2.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 25 , Issue 1 , January 1984 , pp. 75 - 91
Copyright
Copyright © Glasgow Mathematical Journal Trust 1984

References

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