Article ID Journal Published Year Pages File Type
4597686 Journal of Pure and Applied Algebra 2007 7 Pages PDF
Abstract

This paper shows a probabilistic algorithm to decide whether the Galois group of a given irreducible polynomial with rational coefficients is the generalized symmetric group Cp≀SmCp≀Sm or the generalized alternating group Cp≀AmCp≀Am. In the affirmative case, we give generators of the group with their action on the set of roots of the polynomial.

Keywords
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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