English

A double coset formula for the genus of a nilpotent group

Algebraic Topology 2022-10-20 v1 Group Theory

Abstract

We derive double coset formulae for the genus and extended genus of a finitely generated nilpotent group G, using the notions of bounded and bounded above automorphisms of GS\prod G_S, which are defined relative to a fixed fracture square for G.

Keywords

Cite

@article{arxiv.2210.10497,
  title  = {A double coset formula for the genus of a nilpotent group},
  author = {A. Ronan},
  journal= {arXiv preprint arXiv:2210.10497},
  year   = {2022}
}