The cohomology of the Steenrod algebra and the mod p Lannes-Zarati homomorphism

Authors: Phan Hoàng Chơn, Phạm Bích Như,

https://doi.org/10.1016/j.jalgebra.2020.04.001

Publisher, magazine: ,

Publication year: 2020

  Lưu        Trích dẫn         Chia sẻ

Abstract

For any pointed space X, the mod p Lannes-Zarati homomorphism ⁎ is considered as a graded associated version of the mod p Hurewicz map ⁎ ⁎ ⁎ in the -term of the Adams spectral sequence. In this paper, we investigate the behavior of and ⁎ for an odd prime p.

Tags: Lannes-Zarati homomorphism; Steenrod algebra; unstable module; cohomology of the Steenrod algebra; spherical classes; Hurewicz map