Computations of orbits for the Lubin–Tate ring

IF 0.5 4区数学 Journal of Homotopy and Related Structures Pub Date : 2018-12-18 DOI:10.1007/s40062-018-00228-7

Agnès Beaudry, Naiche Downey, Connor McCranie, Luke Meszar, Andy Riddle, Peter Rock

引用次数: 3

Abstract

We take a direct approach to computing the orbits for the action of the automorphism group \(\mathbb {G}_2\) of the Honda formal group law of height 2 on the associated Lubin–Tate rings \(R_2\). We prove that \((R_2/p)_{\mathbb {G}_2} \cong \mathbb {F}_p\). The result is new for \(p=2\) and \(p=3\). For primes \(p\ge 5\), the result is a consequence of computations of Shimomura and Yabe and has been reproduced by Kohlhaase using different methods.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Lubin-Tate环轨道的计算

我们采用一种直接的方法来计算高度为2的Honda形式群律的自同构群\(\mathbb {G}_2\)在相关的Lubin-Tate环\(R_2\)上的作用轨道。我们证明\((R_2/p)_{\mathbb {G}_2} \cong \mathbb {F}_p\)。对于\(p=2\)和\(p=3\)来说，结果是新的。对于质数\(p\ge 5\)，结果是Shimomura和Yabe计算的结果，Kohlhaase用不同的方法重现了这个结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

自引率

0.00%

发文量

期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.

期刊最新文献

The derived Brauer map via twisted sheaves Eilenberg–Maclane spaces and stabilisation in homotopy type theory Homotopy types of diffeomorphism groups of polar Morse–Bott foliations on lens spaces, 1 Goodwillie’s cosimplicial model for the space of long knots and its applications Centralisers, complex reflection groups and actions in the Weyl group \(E_6\)