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高阶广义Baumslag-Solitar群：非正高曲率与双自动性

群论 2025-12-04 v3

作者: Sam Shepherd , Motiejus Valiunas

在 arXiv 上查看 ↗ PDF ↗ DOI ↗

摘要

我们刻画了当秩为n的广义Baumslag-Solitar群为CAT(0)且为双自动时的情况。

关键词

Baumslag-Solitar群 CAT(0) 双自动性非正高曲率群论

引用

@article{arxiv.2502.06974,
  title  = {Higher-rank GBS groups: non-positive curvature and biautomaticity},
  author = {Sam Shepherd and Motiejus Valiunas},
  journal= {arXiv preprint arXiv:2502.06974},
  year   = {2025}
}

备注

7 pages, v2: Some minor changes in the introduction; v3: Some minor changes according to the referee's comments. To appear in Geometriae Dedicata