Some Maximal Polynomials Must Be Nonreal
نویسندگان
چکیده
منابع مشابه
Galois groups of prime degree polynomials with nonreal roots
In the process of computing the Galois group of a prime degree polynomial f(x) over Q we suggest a preliminary checking for the existence of non-real roots. If f(x) has non-real roots, then combining a 1871 result of Jordan and the classification of transitive groups of prime degree which follows from CFSG we get that the Galois group of f(x) contains Ap or is one of a short list. Let f(x) ∈ Q[...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1997
ISSN: 0022-247X
DOI: 10.1006/jmaa.1997.5629