Ideal Class Groups in Basic ...p1 x....x...ps-Extensions of Abelian Number Fields.
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Displaying 1 – 12 of 12
Ideal class groups of cyclotomic number fields I
Franz Lemmermeyer (1995)
Acta Arithmetica
Ideal class groups of cyclotomic number fields II
Franz Lemmermeyer (1998)
Acta Arithmetica
Ideal class groups of cyclotomic number fields III
Franz Lemmermeyer (2008)
Acta Arithmetica
Index of irregularity of a prime.
Ladislav Skula (1980)
Journal für die reine und angewandte Mathematik
Indices of subfields of cyclotomic ℤₚ-extensions and higher degree Fermat quotients
Yoko Inoue, Kaori Ota (2015)
Acta Arithmetica
We consider the indices of subfields of cyclotomic ℤₚ-extensions of number fields. For the nth layer Kₙ of the cyclotomic ℤₚ-extension of ℚ, we find that the prime factors of the index of Kₙ/ℚ are those primes less than the extension degree pⁿ which split completely in Kₙ. Namely, the prime factor q satisfies , and this leads us to consider higher degree Fermat quotients. Indices of subfields of cyclotomic ℤₚ-extensions of a number field which is cyclic over ℚ with extension degree a prime different...
Integral differentials and Fermat congruences.
Kunz, Ernst, Waldi, Rolf (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
Invariants of the ideal class group and the Hasse norm theorem.
Dennis A. Garbanati (1978)
Journal für die reine und angewandte Mathematik
Irregular imaginary fields
Konstantin Selucký, Ladislav Skula (1981)
Archivum Mathematicum
Iwasawa Invariants.
Eduardo Friedman (1985)
Mathematische Annalen
Iwasawa Invariants of Abelian Number Fields.
Bruce Ferrero (1978)
Mathematische Annalen
Iwasawa λ₃-invariants of certain cubic fields
Manabu Ozaki, Gen Yamamoto (2001)
Acta Arithmetica
Currently displaying 1 – 12 of 12
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