On the Iwasawa λ-invariants of quaternion extensions

Keiichi Komatsu

Acta Arithmetica (1999)

  • Volume: 87, Issue: 3, page 219-221
  • ISSN: 0065-1036

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Keiichi Komatsu. "On the Iwasawa λ-invariants of quaternion extensions." Acta Arithmetica 87.3 (1999): 219-221. <http://eudml.org/doc/207217>.

@article{KeiichiKomatsu1999,
author = {Keiichi Komatsu},
journal = {Acta Arithmetica},
keywords = {-invariant; Greenberg's conjecture; quaternion extensions; Iwasawa invariants},
language = {eng},
number = {3},
pages = {219-221},
title = {On the Iwasawa λ-invariants of quaternion extensions},
url = {http://eudml.org/doc/207217},
volume = {87},
year = {1999},
}

TY - JOUR
AU - Keiichi Komatsu
TI - On the Iwasawa λ-invariants of quaternion extensions
JO - Acta Arithmetica
PY - 1999
VL - 87
IS - 3
SP - 219
EP - 221
LA - eng
KW - -invariant; Greenberg's conjecture; quaternion extensions; Iwasawa invariants
UR - http://eudml.org/doc/207217
ER -

References

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  1. [1] T. Fukuda and K. Komatsu, On p -extensions of real quadratic fields, J. Math. Soc. Japan 38 (1986), 95-102. Zbl0588.12004
  2. [2] T. Fukuda, K. Komatsu, M. Ozaki and H. Taya, Iwasawa λ p -invariants of relative cyclic extensions of degree p, Tokyo J. Math. 20 (1997), 475-480. Zbl0919.11068
  3. [3] T. Fukuda and H. Taya, The Iwasawa λ-invariants of p -extensions of real quadratic fields, Acta Arith. 69 (1995), 277-292. Zbl0828.11060
  4. [4] R. Greenberg, On the Iwasawa invariants of totally real number fields, Amer. J. Math. 98 (1976), 263-284. Zbl0334.12013
  5. [5] H. Ichimura and H. Sumida, On the Iwasawa λ-invariants of certain real abelian fields, to appear. Zbl0881.11075
  6. [6] H. Ichimura and H. Sumida, On the Iwasawa λ-invariants of certain real abelian fields II, to appear. Zbl0881.11075
  7. [7] K. Iwasawa, A note on capitulation problem for number fields II, Proc. Japan Acad. 65 (1989), 183-186. 
  8. [8] J. S. Kraft and R. Schoof, Computing Iwasawa modules of real quadratic number fields, Compositio Math. 97 (1995), 135-155. Zbl0840.11043
  9. [9] M. Ozaki and H. Taya, On the Iwasawa λ₂-invariants of certain families of real quadratic fields, submitted for publication (1996). 

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