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 Adams spectral sequence. Therefore, the study of the mod p Lannes-Zarati homomorphism plays an important role in the determination of the image of the mod p Hurewicz map. In this paper, we investigate the behavior of ⁎ , for an odd prime p.