English

Coset Posets of Infinite Groups

Group Theory 2019-10-15 v1

Abstract

We consider the coset poset associated with the families of proper subgroups, proper subgroups of finite index, and proper normal subgroups of finite index. We investigate under which conditions those coset posets have contractible geometric realizations.

Keywords

Cite

@article{arxiv.1910.05638,
  title  = {Coset Posets of Infinite Groups},
  author = {Kai-Uwe Bux and Cora Welsch},
  journal= {arXiv preprint arXiv:1910.05638},
  year   = {2019}
}

Comments

12 pages

R2 v1 2026-06-23T11:42:02.884Z