تقرير
Homotopy groups of $E_{C}^{hG_{24}}\wedge A_1$
| العنوان: | Homotopy groups of $E_{C}^{hG_{24}}\wedge A_1$ |
|---|---|
| المؤلفون: | Pham, Viet-Cuong |
| المصدر: | Algebr. Geom. Topol. 22 (2022) 3855-3938 |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Algebraic Topology |
| الوصف: | 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 $\mathcal{A}(1)$ 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 $\mathbb{F}_{4}$ and $G_{24}$ a maximal finite subgroup of automorphism group $\mathbb{S}_{C}$ of the formal completion of $C$. In this paper, we compute the homotopy groups of $E_{C}^{hG_{24}}\wedge A_1$ by means of the homotopy fixed point spectral sequence. Comment: 82 pages, 29 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.2140/agt.2022.22.3855 |
| URL الوصول: | http://arxiv.org/abs/1811.04484 |
| رقم الأكسشن: | edsarx.1811.04484 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.2140/agt.2022.22.3855 |
|---|