Abstract
Let Pk:=F2[x1,x2,…,xk] be the graded polynomial algebra over the prime field of two elements F2, in k generators x1,x2,…,xk, each of degree 1. Being the mod-2 cohomology of the classifying space B(Z/2)k, the algebra Pk is a module over the mod-2 Steenrod algebra A. In this Note, we extend a result of Hưng on Kameko's homomorphism Sq˜⁎0:F2⊗APk⟶F2⊗APk. Using this result, we show that Singer's conjecture for the algebraic transfer is true in the case k=5 and the degree 7.2s−5 with s an arbitrary positive integer.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
