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- W2023902911 abstract "We obtain a new method for the study of class groups of cyclotomic fields by investigating cyclotomic integers of prescribed absolute value. Explicit subgroups of the classgroup C modulo the class group C + of the maximal real subfield are exhibited and lower bounds on their orders are derived. For the m th cyclotomic field K m , where m = p a m ′, ( p , m ′)=1, and p is a prime, we determine the structure of C + C P / C + C Q up to a binary parameter; here C P , C Q are the subgroups of C generated by the classes [ P i ] respectively [ Q i ], where p factors in K m as ∏ Q i , Q i = P ϕ ( p a ) i , and the P i are prime ideals." @default.
- W2023902911 created "2016-06-24" @default.
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- W2023902911 date "1998-10-01" @default.
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- W2023902911 title "Cyclotomic Integers of Prescribed Absolute Value and the Class Group" @default.
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- W2023902911 doi "https://doi.org/10.1006/jnth.1998.2275" @default.
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