On the 2-rank of the ideal class groups of pure number fields

1984 ◽  
Vol 42 (1) ◽  
pp. 53-57
Author(s):  
Shin Nakano
Keyword(s):  
Number Fields ◽  
Ideal Class ◽  
Class Groups ◽  
Ideal Class Groups ◽  
Pure Number ◽  
The Ideal

scholarly journals A Note on Ideal Class Groups

1966 ◽  
Vol 27 (1) ◽  
pp. 239-247 ◽  
Author(s):  
Kenkichi Iwasawa
Keyword(s):  
Class Group ◽  
Cyclotomic Field ◽  
Theoretical Method ◽  
Number Fields ◽  
Ideal Class ◽  
Ideal Class Group ◽  
Class Groups ◽  
Algebraic Number Fields ◽  
Ideal Class Groups ◽  
The Ideal

In the first part of the present paper, we shall make some simple observations on the ideal class groups of algebraic number fields, following the group-theoretical method of Tschebotarew. The applications on cyclotomic fields (Theorems 5, 6) may be of some interest. In the last section, we shall give a proof to a theorem of Kummer on the ideal class group of a cyclotomic field.

Exponents of the ideal class groups of CM number fields

2003 ◽  
Vol 243 (1) ◽  
pp. 155-159
Author(s):  
S. Louboutin ◽  
R. Okazaki
Keyword(s):  
Number Fields ◽  
Ideal Class ◽  
Class Groups ◽  
Ideal Class Groups ◽  
The Ideal

scholarly journals Tournaments and Ideal Class Groups

1995 ◽  
Vol 38 (3) ◽  
pp. 330-333
Author(s):  
Robert J. Kingan
Keyword(s):  
Class Group ◽  
Number Fields ◽  
Ideal Class ◽  
Ideal Class Group ◽  
Quadratic Number ◽  
Class Groups ◽  
Ideal Class Groups ◽  
Quadratic Number Fields ◽  
The Ideal

AbstractResults are given for a class of square {0,1}-matrices which provide information about the 4-rank of the ideal class group of certain quadratic number fields.

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