On behavior of the fifth algebraic transfer

Mathematics – Algebraic Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 14 November 2007

Scientific paper

10.2140/gtm.2007.11.309

In this paper, we show that Singer's fifth transfer is not an epimorphism in
degree 11. More precisely, it does not detect the element P(h_2) in
Ext_A^{5,16}(F_2,F_2).

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