Homomorphisms of Galois groups of solvably closed Galois extensions
نویسندگان
چکیده
منابع مشابه
Galois Groups of Maximal ̂ -extensions
Let p be an odd prime and F a field of characteristic different from p containing a primitive p\h root of unity. Assume that the Galois group G of the maximal p-extension of F has a finite normal series with abelian factor groups. Then the commutator subgroup of G is abelian. Moreover, G has a normal abelian subgroup with pro-cyclic factor group. If, in addition, F contains a primitive p2th roo...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1981
ISSN: 0025-5645
DOI: 10.2969/jmsj/03340595