The circular units and the Stickelberger ideal of a cyclotomic field revisited

2016 ◽  
pp. 1-22
Author(s):  
Radan Kučera
Keyword(s):  
Cyclotomic Field ◽  
Stickelberger Ideal ◽  
Circular Units

Stickelberger ideal and signature of circular units

1996 ◽  
Vol 223 (1) ◽  
pp. 1-11
Author(s):  
Wolfgang Schwarz ◽  
Horst-Günter Zimmer
Keyword(s):  
Stickelberger Ideal ◽  
Circular Units

scholarly journals A NOTE ON THE EQUIVALENCE OF THE PARITY OF CLASS NUMBERS AND THE SIGNATURE RANKS OF UNITS IN CYCLOTOMIC FIELDS

2018 ◽  
Vol 238 ◽  
pp. 206-214 ◽  
Author(s):  
DAVID S. DUMMIT
Keyword(s):  
Prime Power ◽  
Cyclotomic Field ◽  
Class Numbers ◽  
Cyclotomic Fields ◽  
Circular Units

We collect some statements regarding equivalence of the parities of various class numbers and signature ranks of units in prime power cyclotomic fields. We correct some misstatements in the literature regarding these parities by providing an example of a prime cyclotomic field where the signature rank of the units and the signature rank of the circular units are not equal.

Stickelberger ideal and signature of circular units

1996 ◽  
Vol 223 (1) ◽  
pp. 1-11
Author(s):  
Wolfgang Schwarz ◽  
Horst-Günter Zimmer
Keyword(s):  
Stickelberger Ideal ◽  
Circular Units
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