Abstract
For any pointed space X, the mod p Lannes-Zarati homomorphism φsH˜⁎X is considered as a graded associated version of the mod p Hurewicz map h⁎:π⁎(QX)→H⁎QX in the E2-term of the Adams spectral sequence. In this paper, we investigate the behavior of φ3Fp and φsH˜⁎(BZ/p)(s≤1) for an odd prime p.
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