English

Cohomological uniqueness of some $p$-groups

Algebraic Topology 2010-06-03 v3 Group Theory

Abstract

In this paper we consider classifying spaces of a family of pp-groups and we prove that mod pp cohomology enriched with Bockstein spectral sequences determines their homotopy type among pp-completed CW-complexes. We end with some applications to group theory.

Keywords

Cite

@article{arxiv.1002.4302,
  title  = {Cohomological uniqueness of some $p$-groups},
  author = {Antonio Díaz and Albert Ruiz and Antonio Viruel},
  journal= {arXiv preprint arXiv:1002.4302},
  year   = {2010}
}

Comments

Minor changes, 16 pages, no figures

R2 v1 2026-06-21T14:50:10.116Z