The Mahowald operator in the cohomology of the Steenrod algebra

Abstract

We study the Mahowald operator $M=⟨g_2,h_0^3,-⟩$ in the cohomology of the Steenrod algebra. We show that the operator interacts well with the cohomology of $A(2)$, in both the classical and $\mathbb{C}$-motivic contexts. This generalizes previous work of Margolis, Priddy, and Tangora.

References in corpus (1)

• The $v_1$-Periodic Region of the Complex-Motivic Ext

Cited by in corpus (1)

• The cohomology of the mod 2 Steenrod algebra