On homotopy groups of EChG24 ∧A1

Pham, Viet-Cuong

doi:10.2140/agt.2022.22.3855

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

This article is available for purchase or by subscription. See below.

On homotopy groups of $E_C^{hG_{24}}\wedge A_1$

Viet-Cuong Pham

Algebraic & Geometric Topology 22 (2022) 3855–3938

DOI: 10.2140/agt.2022.22.3855

Abstract

Let $A_{1}$ be any spectrum in a class of finite spectra whose mod $2$ cohomology is isomorphic to a free module of rank one over the subalgebra $𝒜 (1)$ of the Steenrod algebra. Let $E_{C}$ be the second Morava $E$ – theory associated to a universal deformation of the formal completion of the supersingular elliptic curve $C : y^{2} + y = x^{3}$ defined over $𝔽_{4}$ and $G_{24}$ a maximal finite subgroup of the automorphism group $𝕊_{C}$ of the formal completion of $C$ . We compute the homotopy groups of $E_{C}^{h G_{24}} \land A_{1}$ by means of the homotopy fixed-point spectral sequence.

PDF Access Denied

We have not been able to recognize your IP address 18.191.223.123 as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 40.00:

Keywords

$K(2)$–local homotopy theory, topological modular forms, Davis–Mahowald spectral sequence, homotopy fixed-point spectral sequence

Mathematical Subject Classification

Primary: 55Q10

References

Publication

Received: 14 December 2020

Revised: 11 May 2021

Accepted: 8 June 2021

Published: 14 March 2023

Authors

Viet-Cuong Pham
MPIM Bonn Bonn Germany

Volume 22, issue 8 (2022)