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PreprintarXiv licencearXiv

Number of ends of conjugacy diagrams

  • Alexey V. Naianzin
  • Andronick A. Arutyunov
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Abstract

For each n≥ 2, we construct a finitely generated group Wn with a conjugacy class such that the conjugacy diagram of this class has exactly n ends. For this class, we compute the quotient spaces of the space of derivations of the group algebra ℂ[Wn] modulo quasi-inner and inner derivations, as well as the corresponding component of the first Hochschild cohomology.

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Cite

BibTeXRIS
BibTeX
@misc{naianzin2026number,
  title = {{Number of ends of conjugacy diagrams}},
  author = {Alexey V. Naianzin and Andronick A. Arutyunov},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.38841},
  eprint = {2610.38841},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.38841},
}
RIS
TY  - UNPB
TI  - Number of ends of conjugacy diagrams
AU  - Alexey V. Naianzin
AU  - Andronick A. Arutyunov
PY  - 2026
DA  - 2026/10/28
PB  - arXiv
DO  - 10.48550/arxiv.2610.38841
UR  - https://arxiv.org/abs/2610.38841
AB  - For each n≥ 2, we construct a finitely generated group W_n with a conjugacy class such that the conjugacy diagram of this class has exactly n ends. For this class, we compute the quotient spaces of the space of derivations of the group algebra ℂ[W_n] modulo quasi-inner and inner derivations, as well as the corresponding component of the first Hochschild cohomology.
ER  -