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arXiv 0904.1600math.GR
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Grigorchuk群的扭曲孪生子

The Twisted Twin of the Grigorchuk Group

Laurent Bartholdi, Olivier Siegenthaler

摘要:

我们研究Grigorchuk的第一组扭曲的版本,并强调其相似之处和不同之处,其模型。特别地,我们证明了它允许一个有限的自同态表示,具有无限秩乘子,并且不具有同余性质。

英文摘要:

We study a twisted version of Grigorchuk's first group, and stress its similarities and differences to its model. In particular, we show that it admits a finite endomorphic presentation, has infinite-rank multiplier, and does not have the congruence property.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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