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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

The iterated transfer analogue
of the new doomsday conjecture


Author: Norihiko Minami
Journal: Trans. Amer. Math. Soc. 351 (1999), 2325-2351
MSC (1991): Primary 55Q10, 55Q45, 55T15; Secondary 55R12, 55R35, 55N22, 57R77
Published electronically: February 16, 1999
MathSciNet review: 1443884
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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: http://dx.doi.org/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
Published electronically: 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
Article copyright: © Copyright 1999 American Mathematical Society