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2020 Eilenberg–Mac Lane spectra as equivariant Thom spectra
Jeremy Hahn, Dylan Wilson
Geom. Topol. 24(6): 2709-2748 (2020). DOI: 10.2140/gt.2020.24.2709

Abstract

We prove that the G–equivariant mod p Eilenberg–Mac Lane spectrum arises as an equivariant Thom spectrum for any finite, p–power cyclic group G, generalizing a result of Behrens and the second author in the case of the group C2. We also establish a construction of H¯(p), and prove intermediate results that may be of independent interest. Highlights include constraints on the Hurewicz images of equivariant spectra that admit norms, and an analysis of the extent to which the nonequivariant H𝔽p arises as the Thom spectrum of a more than double loop map.

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Jeremy Hahn. Dylan Wilson. "Eilenberg–Mac Lane spectra as equivariant Thom spectra." Geom. Topol. 24 (6) 2709 - 2748, 2020. https://doi.org/10.2140/gt.2020.24.2709

Information

Received: 1 May 2018; Revised: 19 November 2019; Accepted: 29 December 2019; Published: 2020
First available in Project Euclid: 5 January 2021

MathSciNet: MR4194302
Digital Object Identifier: 10.2140/gt.2020.24.2709

Subjects:
Primary: 55P43, 55P91

Rights: Copyright © 2020 Mathematical Sciences Publishers

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Vol.24 • No. 6 • 2020
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