Higher Yoneda product structures and Iwasawa algebras modulo $p$

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.

16 pages, with revisions after a referee report. To appear in Mathematical Research Letters

References in corpus (2)

• Koszulity of cohomology = $K(\pi ,1)$-ness + quasi-formality
• Koszul duality for Iwasawa algebras modulo p