Higher Yoneda product structures and Iwasawa algebras modulo $p$

TL;DR

This paper explores the algebraic structures of Iwasawa algebras modulo p, specifically examining the higher Yoneda product structures and their relation to $A_in$-algebras, addressing questions in algebraic number theory.

Contribution

It provides new insights into the relationship between Iwasawa algebras modulo p and $A_in$-algebra structures on their Yoneda algebras, answering previously posed questions.

Findings

Established connections between Iwasawa algebras and $A_in$-algebra structures

Answered specific questions posed by Sorensen

Enhanced understanding of algebraic structures in number theory

Abstract

We give answers to three questions posed by Sorensen. These concern the relationship between the modulo $p$ Iwasawa algebra of a torsionfree pro-$p$ group and $A_\infty$-algebra structures on its Yoneda algebra.