English

3-groups are not determined by their integral cohomology rings

Algebraic Topology 2007-12-03 v1

Abstract

We compute the integral cohomology rings of a family of 3-groups. As a corollary, we exhibit, for each n greater than or equal to 5, a pair of groups of order 3^n whose integral cohomology rings are isomorphic.

Keywords

Cite

@article{arxiv.0711.4839,
  title  = {3-groups are not determined by their integral cohomology rings},
  author = {Ian J. Leary},
  journal= {arXiv preprint arXiv:0711.4839},
  year   = {2007}
}