The Baumslag-Gersten group and a problem of Olshanskii

Carl-Fredrik Nyberg-Brodda

The Baumslag-Gersten group and a problem of Olshanskii

群论 2026-06-25 v1

作者: Carl-Fredrik Nyberg-Brodda

摘要

We prove that a certain representation of the Baumslag-Gersten one-relator group $\mathrm{BG}(1,2)$ by germs of continuous functions is not faithful. This gives a negative answer to a problem of A. Yu. Olshanskii from 2010 (Problem 17.99 in the Kourovka Notebook).

引用

@article{arxiv.2606.27408,
  title  = {The Baumslag-Gersten group and a problem of Olshanskii},
  author = {Carl-Fredrik Nyberg-Brodda},
  journal= {arXiv preprint arXiv:2606.27408},
  year   = {2026}
}

备注

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