Multiplicative Structures on Moore spectra

Burklund, Robert

Multiplicative Structures on Moore spectra

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Author(s)

Burklund, Robert

Advisor(s)

Hopkins, Michael

Date Issued

May 2022

Publisher

Massachusetts Institute of Technology

Abstract

In this article we show that S/8 is an E₁-algebra, S/32 is an E₂-algebra, S/𝑝ⁿ⁺¹ is an Eₙ-algebra at odd primes and, more generally, for every 𝒉 and 𝑛 there exist generalized Moore spectra of type 𝒉 which admit an Eₙ-algebra structure.

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Massachusetts Institute of Technology. Department of Mathematics

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https://hdl.handle.net/1721.1/145127