Rigidity of the Minimal Grope Group
Group Theory
2018-08-08 v1
Abstract
We give a systematic definition of the fundamental groups of gropes, which we call grope groups. We show that there exists a nontrivial homomorphism from the minimal grope group M to another grope group G only if G is the free product of M with another grope group.
Cite
@article{arxiv.math/0608125,
title = {Rigidity of the Minimal Grope Group},
author = {Matija Cencelj and Katsuya Eda and Ales Vavpetic},
journal= {arXiv preprint arXiv:math/0608125},
year = {2018}
}