Transfer ideals and torsion in the Morava E-theory of abelian groups

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2020-05-23 DOI:10.1007/s40062-020-00259-z

Tobias Barthel, Nathaniel Stapleton

引用次数: 2

Abstract

Let A be a finite abelian p-group of rank at least 2. We show that \(E^0(BA)/I_{tr}\), the quotient of the Morava E-cohomology of A by the ideal generated by the image of the transfers along all proper subgroups, contains p-torsion. The proof makes use of transchromatic character theory.

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abelian群的Morava e理论中的迁移理想和扭转

设A是一个秩至少为2的有限阿贝尔p群。我们证明了A的Morava e -上同的商\(E^0(BA)/I_{tr}\)包含p-扭转。该证明利用了变色特征理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

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.