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Date Published: 30/09/2020
Online Published: 30/09/2020
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DOI: https://doi.org/10.54607/hcmue.js.17.9.2741(2020)
Issue
Vol. 17 No. 9 (2020)
Section
Articles
How to Cite
Trần , V. A., & Nguyễn , L. C. Q. (2020). NATURAL FILTRATION OF THE MORAVA K-THEORIES OF ELEMENTARY ABELIAN 2-GROUPS. HCMUE Journal of Science, 17(9), 1547. https://doi.org/10.54607/hcmue.js.17.9.2741(2020)

NATURAL FILTRATION OF THE MORAVA K-THEORIES OF ELEMENTARY ABELIAN 2-GROUPS

Vũ An Trần , Lê Chí Quyết Nguyễn

Main Article Content

Abstract

 

 

To understand the Morava K-theory  at the prime , one of the starting points is to study the structure of the covariant functor , where is an elementary abelian 2-groups (i.e. the finite dimensional vector space over ),  is the classifying space of the dual of . The functorial structure of the second Morava K-theory  has been studied in the paper (Nguyen, 2020). This paper aims to generalize some results of the paper (Nguyen, 2020): study the natural filtration of the functor . In detail, the paper defines the subfunctors of the functor , then its -filtration. It also demonstrates that the successive quotients of this -filtration are the tensor product of some exterior power functors.

 

Keywords

Morava K-theory, generic representation, n-filtration

Article Details

Author Biography

Lê Chí Quyết Nguyễn,

Học viên cao học

References

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Nguyen, L. C. Q. (2020). Une description fonctorielle des K-théories de Morava des 2-groupes abéliens élémentaires. Bulletin de la SMF, F. 1, T. 148, 133-172.
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