Constructing a v2 Self Map at p=3
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Date
2017-09-06
Authors
Reid, Benjamin
Journal Title
Journal ISSN
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Publisher
University of Oregon
Abstract
Working at the prime p = 3, we construct a stably finite spectrum, Z, with a v_2^1 self map f. Further, both Ext_A(H*(Z),Z_3) and Ext_A(H*(Z),H*(Z)) have a vanishing line of slope 1/16 in (t-s,s) coordinates, and the map f is represented by an element a of Ext where multiplication by a is parallel to the vanishing line. To accomplish this construction, we prove a result about the connection between particular self maps of spectra and their effect on the Margolis homology of related modules over the Steenrod Algebra.
Description
Keywords
Algebraic topology, Stable Homotopy Theory, v_n Periodicity