English

Local-global invariants of finite and infinite groups: around Burnside from another side

Group Theory 2013-04-19 v1 Algebraic Geometry

Abstract

This expository essay is focused on the Shafarevich-Tate set of a group GG. Since its introduction for a finite group by Burnside, it has been rediscovered and redefined more than once. We discuss its various incarnations and properties as well as relationships (some of them conjectural) with other local-global invariants of groups.

Keywords

Cite

@article{arxiv.1304.5053,
  title  = {Local-global invariants of finite and infinite groups: around Burnside from another side},
  author = {Boris Kunyavskii},
  journal= {arXiv preprint arXiv:1304.5053},
  year   = {2013}
}

Comments

18 pages