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PreprintarXiv licencearXiv

Groups satisfying the minimal condition on centralizers are complete co-analytic

  • Hakkı Kağan Yumak
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Abstract

In this paper, we prove that the set of groups satisfying the minimal condition on centralizers is a complete co-analytic subset of the Polish space of countable groups. This answers a question of Wesolek and Williams.

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Cite

BibTeXRIS
BibTeX
@misc{yumak2026groups,
  title = {{Groups satisfying the minimal condition on centralizers are complete co-analytic}},
  author = {Hakkı Kağan Yumak},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31601},
  eprint = {2610.31601},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31601},
}
RIS
TY  - UNPB
TI  - Groups satisfying the minimal condition on centralizers are complete co-analytic
AU  - Hakkı Kağan Yumak
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31601
UR  - https://arxiv.org/abs/2610.31601
AB  - In this paper, we prove that the set of groups satisfying the minimal condition on centralizers is a complete co-analytic subset of the Polish space of countable groups. This answers a question of Wesolek and Williams.
ER  -