The Iwasawa invariant μ vanishes for Z2-extensions of certain real biquadratic fields

For a real biquadratic field, we denote by λ , μ and ν the Iwasawa invariants of cyclotomic Z 2 -extension of k . We give certain families of real biquadratic fields k such that μ = 0 .

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Bibliographic Details
Published inActa mathematica Hungarica Vol. 165; no. 1; pp. 146 - 155
Main Authors EL Mahi, A., Ziane, M.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 2021
Springer Nature B.V
Subjects
Invariants
Mathematics
Mathematics and Statistics
Iwasawa theory
2-class group
11R29
class field theory
extension
unit
real biquadratic field
11R21
secondary 11R27
primary 11R23
11R32
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Summary:For a real biquadratic field, we denote by λ , μ and ν the Iwasawa invariants of cyclotomic Z 2 -extension of k . We give certain families of real biquadratic fields k such that μ = 0 .
ISSN:0236-5294
1588-2632
DOI:10.1007/s10474-021-01174-2