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

DOI:
https://doi.org/10.1090/S0002-9947-99-02037-1

Published electronically:
February 16, 1999

MathSciNet review:
1443884

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: A strong general restriction is given on the stable Hurewicz image of the classifying spaces of elementary abelian -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:
https://doi.org/10.1090/S0002-9947-99-02037-1

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