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The iterated transfer analogue of the new doomsday conjecture

Author(s): Norihiko Minami
Journal: Trans. Amer. Math. Soc. 351 (1999), 2325-2351.
MSC (1991): Primary 55Q10, 55Q45, 55T15; Secondary 55R12, 55R35, 55N22, 57R77
Posted: February 16, 1999
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Abstract: A strong general restriction is given on the stable Hurewicz image of the classifying spaces of elementary abelian $p$-groups. In particular, this implies the iterated transfer analogue of the new doomsday conjecture.

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Additional Information:

Norihiko Minami
Affiliation: Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487--0350
Email: norihiko@gp.as.ua.edu, norihiko@euler.math.ua.edu

DOI: 10.1090/S0002-9947-99-02037-1
PII: S 0002-9947(99)02037-1
Keywords: Adams spectral sequence, transfer, stable homotopy groups of the sphere, Kahn-Priddy theorem, the Kervaire invariant one element
Received by editor(s): November 1, 1996
Posted: February 16, 1999
Additional Notes: This work was partially supported by a University of Alabama Research Grant.
Dedicated: Dedicated to Professor Dan Kan on the occasion of his retirement from teaching calculus
Copyright of article: Copyright 1999, American Mathematical Society

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