abelian群的Morava e理论中的迁移理想和扭转

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

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引用次数: 2

摘要

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。

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

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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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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