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p-Ranks of Class Groups of Witt Equivalent Number Fields

โœ Scribed by Kazimierz Szymiczek


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
136 KB
Volume
78
Category
Article
ISSN
0022-314X

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โœฆ Synopsis


We prove that, for each prime p dividing n, every infinite class of Witt equivalent number fields of degree n 2 contains a field with the p-rank of the ideal class group exceeding any given number.


๐Ÿ“œ SIMILAR VOLUMES


Refined Lower Bounds on the 2-Class Numb
โœ Elliot Benjamin; Charles J. Parry ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 125 KB

Let k be an imaginary quadratic number field with C k, 2 , the 2-Sylow subgroup of its ideal class group, isomorphic to Zร‚2Z\_Zร‚2Z\_Zร‚2Z. By the use of various versions of the Kuroda class number formula, we improve significantly upon our previous lower bound for |C k 1 , 2 | , the 2-class number of