Homology, Homotopy and Applications

Volume 20 (2018)

Number 2

On the motivic Peterson conjecture

Pages: 361 – 375

DOI: https://dx.doi.org/10.4310/HHA.2018.v20.n2.a18


Masaki Kameko (Department of Mathematical Sciences, Shibaura Institute of Technology, Saitama-City, Japan)


We show that the analogue of the Peterson conjecture on the action of Steenrod squares does not hold in motivic cohomology.


Steenrod algebra, motivic cohomology, hit problem

2010 Mathematics Subject Classification

14F42, 55S10

This work was supported by JSPS KAKENHI Grant Numbers JP25400097 and JP17K05263.

Received 22 December 2017

Received revised 9 April 2018

Published 18 July 2018