Certain pure cubic fields with class-number one
نویسندگان
چکیده
منابع مشابه
On 3-class Groups of Certain Pure Cubic Fields
Let p be a prime number, and let K = Q( 3 √p). Let M = Q(ζ, 3 √p) = Q( √ −3, 3 √p), where ζ is a primitive cube root of unity. Let SK be the 3-class group of K (that is, the Sylow 3-subgroup of the ideal class group of K). Let SM (respectively, SQ(ζ)) be the 3-class group ofM (respectively, Q(ζ)). Since Q(ζ) has class number 1, then SQ(ζ) = {1}. Assuming p ≡ 1 (mod 9), Calegari and Emerton [3, ...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 1977
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-1977-0432591-4