Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On pro-$p$ link groups of number fields
HTML articles powered by AMS MathViewer

by Yasushi Mizusawa PDF
Trans. Amer. Math. Soc. 372 (2019), 7225-7254 Request permission

Abstract:

As an analogue of a link group, we consider the Galois group of the maximal pro-$p$-extension of a number field with restricted ramification which is cyclotomically ramified at $p$, i.e., tamely ramified over the intermediate cyclotomic $\mathbb Z_p$-extension of the number field. In some basic cases, such a pro-$p$ Galois group also has a Koch type presentation described by linking numbers and mod $2$ Milnor numbers (Rédei symbols) of primes. Then the pro-$2$ Fox derivative yields a calculation of Iwasawa polynomials analogous to Alexander polynomials.
References
Similar Articles
Additional Information
  • Yasushi Mizusawa
  • Affiliation: Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa, Nagoya 466-8555, Japan
  • MR Author ID: 672607
  • Email: mizusawa.yasushi@nitech.ac.jp
  • Received by editor(s): July 11, 2018
  • Received by editor(s) in revised form: December 17, 2018
  • Published electronically: February 6, 2019
  • Additional Notes: This work was supported by JSPS KAKENHI Grant Numbers JP26800010, JP17K05167.
  • © Copyright 2019 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 372 (2019), 7225-7254
  • MSC (2010): Primary 11R23; Secondary 11R18, 11R32, 57M05
  • DOI: https://doi.org/10.1090/tran/7787
  • MathSciNet review: 4024552