 

Hadi Zare
The DyerLashof algebra and the hit problems
view
print


Published: 
August 7, 2021. 
Keywords: 
DyerLashof algebra, BeckerGottlieb transfer, infinite loop space. 
Subject: 
55S10, 55S12, 55P47. 


Abstract
We use work of Curtis and Wellington on Aannihilated classes in H_{*}QS^{0} together with
Priddy's computations on the action of the DyerLashof algebra on
H_{*}(Z x BO) to provide new examples of
Aannihilated classes in H_{*}BO as well H_{*}BO(2^{r}1).
We then consider the BeckerGottlieb transfer associated to O(1)^{xn} → O(n) and speculate on the possible applications of our computations to obtain new examples of Aannihilated classes in H_{*}BO(1)^{n}.
Our results, all at the prime p=2, provide new numerical conditions which seem to show up for the first time in this context.


Acknowledgements
This work is partially supported by a grant from the Iranian National Science Foundation (INSF) Grant No. 98023105.


Author information
Hadi Zare:
School of Mathematics, Statistics, and Computer Science
College of Science
University of Tehran
Tehran 14174, Iran
hadi.zare@ut.ac.ir

