JP Journal of Algebra, Number Theory and Applications
Volume 48, Issue 2, Pages 193 - 201
(November 2020) http://dx.doi.org/10.17654/NT048020193 |
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A NOTE ON THE EPIMORPHISM OF THE FIFTH ALGEBRAIC TRANSFER
Đặng Võ Phúc
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Abstract: Denote by the mod 2 Steenrod algebra. We study the algebraic transfer constructed by Singer [15]. It is one of the useful tools for studying the cohomology of the Steenrod algebra, Based on the results of Tangora [18], Lin [9], Chen [4], Lê [8] and Singer [15], we conclude that the non-zero element is in the image of (see [12]). Here denotes the Adams element in and In this note, we give another direct proof of this result. More specifically, we prove this by direct computations using the representation in the -lambda algebra of |
Keywords and phrases: Adams spectral sequences, Steenrod algebra, algebraic transfer.
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