Iwasawa algebra

id: iwasawa-algebra-238-16677145
title: Iwasawa algebra
text: In mathematics, the Iwasawa algebra Λ(G) of a profinite group G is a variation of the group ring of G with p-adic coefficients that take the topology of G into account. More precisely, Λ(G) is the inverse limit of the group rings Zp(G/H) as H  runs through the open normal subgroups of G. Commutative Iwasawa algebras were introduced by Iwasawa (1959) in his study of Zp extensions in Iwasawa theory, and non-commutative Iwasawa algebras of compact p-adic analytic groups were introduced by Lazard (1
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original url: https://en.wikipedia.org/wiki/Iwasawa_algebra
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date modified: 2023-11-07T08:57:25Z
main entity: {"identifier":"Q6100701","url":"https://www.wikidata.org/entity/Q6100701"}
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