Year: 2019
Type: article
Abstract: As an analogue of a link group, we consider the Galois group of the maximal pro- p p -extension of a number field with restricted ramification which is cyclotomically ramified at p p , i.e., tamely ramified over the intermediate cyclotomic Z p \mathbb Z_p -extension of the number field. In some basic cases, such a pro- p p Galois group also has a Koch type presentation described by linking numbers and mod 2 2 Milnor numbers (RĆ©dei symbols) of primes. Then the pro- 2 2 Fox derivative yields a calculation of Iwasawa polynomials analogous to Alexander polynomials.
DOI: 10.1090/tran/7787
Author: Yasushi Mizusawa
Institution: Nagoya Institute of Technology
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2733068081