Conjugator length in finitely generated groups

@misc{goffer2026conjugator,
  title = {{Conjugator length in finitely generated groups}},
  author = {G. Goffer and M. Mihaila and D. Osin},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11880},
  eprint = {2609.11880},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11880},
}

TY  - UNPB
TI  - Conjugator length in finitely generated groups
AU  - G. Goffer
AU  - M. Mihaila
AU  - D. Osin
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11880
UR  - https://arxiv.org/abs/2609.11880
AB  - We describe all functions ℕ→ ℕ that can be realized, up to the standard equivalence, as conjugator length functions of finitely generated groups. Furthermore, we show that any two increasing functions f,g: ℕ→ ℕ can be simultaneously realized as conjugator length functions of finitely generated, commensurable (in particular, quasi-isometric) groups.
ER  -