Lubin-Tate环轨道的计算

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

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引用次数: 3

摘要

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。

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Computations of orbits for the Lubin–Tate ring

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.

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Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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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.

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