Annals of K-Theory

On the cycle map of a finite group

Masaki Kameko

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Abstract

Let p be an odd prime number. We show that there exists a finite group of order pp+3 for which the mod p cycle map from the mod p Chow ring of its classifying space to its ordinary mod p cohomology is not injective.

Article information

Source
Ann. K-Theory, Volume 2, Number 1 (2017), 47-72.

Dates
Received: 5 June 2015
Revised: 9 January 2016
Accepted: 2 February 2016
First available in Project Euclid: 16 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.akt/1510841624

Digital Object Identifier
doi:10.2140/akt.2017.2.47

Mathematical Reviews number (MathSciNet)
MR3599516

Zentralblatt MATH identifier
1349.14019

Subjects
Primary: 14C15: (Equivariant) Chow groups and rings; motives
Secondary: 55R40: Homology of classifying spaces, characteristic classes [See also 57Txx, 57R20] 55R35: Classifying spaces of groups and $H$-spaces

Keywords
Chow ring cycle map classifying space finite group

Citation

Kameko, Masaki. On the cycle map of a finite group. Ann. K-Theory 2 (2017), no. 1, 47--72. doi:10.2140/akt.2017.2.47. https://projecteuclid.org/euclid.akt/1510841624


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