On a nilpotence conjecture of J.P. May

@article{Mathew2015OnAN,
  title={On a nilpotence conjecture of J.P. May},
  author={Akhil Mathew and N. Naumann and J. Noel},
  journal={Journal of Topology},
  year={2015},
  volume={8},
  pages={917-932}
}
We prove a conjecture of J.P. May concerning the nilpotence of elements in ring spectra with power operations, i.e., H1-ring spectra. Using an explicit nilpotence bound on the torsion elements in K(n)-local H1-algebras over En, we reduce the conjecture to the nilpotence theorem of Devinatz, Hopkins, and Smith. As corollaries we obtain nilpotence results in various bordism rings including MSpin and MString , results about the behavior of the Adams spectral sequence for E1-ring spectra, and the… Expand
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References

SHOWING 1-10 OF 53 REFERENCES
A simple universal property of Thom ring spectra
  • 34
  • Highly Influential
  • PDF
The Spectrum of an Equivariant Cohomology Ring: II
  • 595
THE 7-CONNECTED COBORDISM RING AT p = 3
  • 17
  • PDF
ON COMMUTATIVE RING SPECTRA OF CHARACTERISTIC 2
  • 10
On Thom spectra, orientability, and cobordism
  • 153
E∞ ring spaces and E∞ ring spectra
  • 287
  • PDF
...
1
2
3
4
5
...