Ideal Class Groups in Basic ...p1 x....x...ps-Extensions of Abelian Number Fields.
Ideal class groups of cyclotomic number fields I
Ideal class groups of cyclotomic number fields II
Ideal class groups of cyclotomic number fields III
Index of irregularity of a prime.
Indices of subfields of cyclotomic ℤₚ-extensions and higher degree Fermat quotients
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.
Invariants of the ideal class group and the Hasse norm theorem.
Irregular imaginary fields
Iwasawa Invariants.
Iwasawa Invariants of Abelian Number Fields.
Iwasawa λ₃-invariants of certain cubic fields