On the May spectral sequence and the algebraic transfer II

Authors: Phan Hoàng Chơn, Lê Minh Hà,

https://doi.org/10.1016/j.topol.2014.10.013

Publisher, magazine: ,

Publication year: 2014

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Abstract

We study the algebraic transfer constructed by Singer [19] using the May spectral sequence technique. We show that the two squaring operators defined by Kameko [8] and Nakamura [16] on the domain and range respectively of our version of the algebraic transfer are compatible. We also prove that the two -families , , and , , are in the image of the algebraic transfer.

Tags: Adams spectral sequence, May spectral sequence, Steenrod algebra, Algebraic transfer