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PreprintarXiv licencearXiv

Quasiisometry invariance of relatively hyperbolic TDLC groups

  • Arunava Mandal
  • Ravi Tomar
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Abstract

Motivated by the work of Druţu--Sapir, we introduce a definition of relatively hyperbolic TDLC groups that depends only on their Cayley-Abels graphs and show that this new definition is equivalent to one introduced by Arora--Martínez-Pedroja. Then, we prove that relative hyperbolicity for TDLC groups is invariant under quasiisometry.

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Cite

BibTeXRIS
BibTeX
@misc{mandal2026quasiisometry,
  title = {{Quasiisometry invariance of relatively hyperbolic TDLC groups}},
  author = {Arunava Mandal and Ravi Tomar},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.29005},
  eprint = {2609.29005},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.29005},
}
RIS
TY  - UNPB
TI  - Quasiisometry invariance of relatively hyperbolic TDLC groups
AU  - Arunava Mandal
AU  - Ravi Tomar
PY  - 2026
DA  - 2026/09/24
PB  - arXiv
DO  - 10.48550/arxiv.2609.29005
UR  - https://arxiv.org/abs/2609.29005
AB  - Motivated by the work of Druţu--Sapir, we introduce a definition of relatively hyperbolic TDLC groups that depends only on their Cayley-Abels graphs and show that this new definition is equivalent to one introduced by Arora--Martínez-Pedroja. Then, we prove that relative hyperbolicity for TDLC groups is invariant under quasiisometry.
ER  -