English

On groups with unbounded Cayley graphs

Group Theory 2019-01-30 v2 Rings and Algebras

Abstract

We show that every non-trivial compact connected group and every non-trivial general or special linear group over an infinite field admits a generating set such that the associated Cayley graph has infinite diameter.

Keywords

Cite

@article{arxiv.1811.12154,
  title  = {On groups with unbounded Cayley graphs},
  author = {Jakob Schneider},
  journal= {arXiv preprint arXiv:1811.12154},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T06:25:09.666Z