English

Free by cyclic groups are large

Group Theory 2013-11-15 v1

Abstract

If F is a free group of finite rank at least two then any group of the form F by Z is large. In this short note we show how this statement follows by combining a very recent theorem of Hagen and Wise (using work of Agol and of Wise) with earlier results of the author.

Keywords

Cite

@article{arxiv.1311.3506,
  title  = {Free by cyclic groups are large},
  author = {J. O. Button},
  journal= {arXiv preprint arXiv:1311.3506},
  year   = {2013}
}

Comments

4 pages

R2 v1 2026-06-22T02:07:30.974Z