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Gustavo Granja - On self maps of HPn
| GUSTAVO GRANJA, Department of Mathematics, MIT, Cambridge, Massachusetts 02139, USA |
| On self maps of HPn |
In 1975, Feder and Gitler computed the action of the Adams operations
on the K-theory of
HPn and used this to get restrictions on the
possible degrees of self maps. They conjectured that all the integers
satisfying these restrictions are degrees of actual self maps. The
conjecture is known to be true for n=2,3 and 
. We show
that
it also holds for n=4,5 by using computations by Curtis and Mahowald
of the unstable Adams spectral sequence for S3 and explain why this
gives qualitatively stronger evidence for the conjecture.
