Chromatic (co)homology of finite general linear groups
| Autor: | Hutchinson, Samuel, Marsh, Samuel, Strickland, Neil |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Algebraic & Geometric Topology. 22:1511-1614 |
| ISSN: | 1472-2739 1472-2747 |
| Popis: | We study the Morava $E$-theory (at a prime $p$) of $BGL_d(F)$, where $F$ is a finite field with $|F|=1\pmod{p}$. Taking all $d$ together, we obtain a structure with two products $\times$ and $\bullet$. We prove that it is a polynomial ring under $\times$, and that the module of $\times$-indecomposables inherits a $\bullet$-product, and we describe the structure of the resulting ring. In the process, we prove many auxiliary structural results. Comment: Revised in response to referee's comments: added outline, additional context and references, and index of notation; various other minor changes |
| Databáze: | OpenAIRE |
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