论文标题

汤普森组通过更高等级图的较高维度概括

Higher dimensional generalizations of the Thompson groups via higher rank graphs

论文作者

Lawson, Mark V, Sims, Aidan, Vdovina, Alina

论文摘要

我们从合适的高级图中构建了一个群体家族,这是有限对称组的类似物。我们介绍同源不变的,表明我们的许多小组在$ n \ geq 2 $时都不是同构为$ nv $。

We construct a family of groups from suitable higher rank graphs which are analogues of the finite symmetric groups. We introduce homological invariants showing that many of our groups are, for example, not isomorphic to $nV$, when $n \geq 2$.

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