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基于高阶图的高维Thompson群推广

群论 2023-02-28 v3 范畴论

作者: Mark V Lawson , Aidan Sims , Alina Vdovina

在 arXiv 上查看 ↗ PDF ↗

摘要

我们由合适的高阶图构造了一族群，它们是有限对称群的类似物。我们引入了同调不变量，表明我们的许多群在 $n \geq 2$ 时不同构于 $nV$ 。

关键词

高阶图 Thompson群有限对称群同调不变量群同构

引用

@article{arxiv.2010.08960,
  title  = {Higher dimensional generalizations of the Thompson groups via higher rank graphs},
  author = {Mark V Lawson and Aidan Sims and Alina Vdovina},
  journal= {arXiv preprint arXiv:2010.08960},
  year   = {2023}
}

备注

Some minor typos have been corrected. An incorrect proof has been corrected. Section 8 has been reordered a little. Further minor typos corrected