Explicit determination of generalized symmetric and alternating Galois groups
Journal of Pure and Applied Algebra(2007)
摘要
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≀Sm or the generalized alternating group Cp≀Am. In the affirmative case, we give generators of the group with their action on the set of roots of the polynomial.
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关键词
Primary,12Y05,secondary 11R32
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