Classical Iwasawa Theory Arizona Winter School 2018
نویسندگان
چکیده
(typeset by Robert JS McDonald, UConn1) Lecture 1. Foundational material. The lecture will briefly cover, without proofs, the background in algebra and number theory needed at the beginning of Iwasawa theory. Throughout, p will denote an arbitrary prime number, and Γ a topological group which is isomorphic to the additive group of p-adic integers Zp. Thus, for each n ≥ 0, Γ will have a closed subgroup of index pn, which we will denote by Γn, and Γ/Γn will then be a cyclic group of order pn. The Iwasawa algebra Λ(Γ) of Γ is defined by
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