Rank Three p-Group Actions on Products of Spheres
Algebraic Topology
2017-05-17 v3
Abstract
Let p be an odd prime. We prove that every rank three p-group acts freely and smoothly on a product of three spheres. To construct this action, we first prove a generalization of a theorem of L\" uck and Oliver on constructions of G-equivariant vector bundles. We also give some other applications of this generalization.
Keywords
Cite
@article{arxiv.1412.3141,
title = {Rank Three p-Group Actions on Products of Spheres},
author = {Ergun Yalcin},
journal= {arXiv preprint arXiv:1412.3141},
year = {2017}
}
Comments
Minor revision. To appear in Bulletin of the London Mathematical Society