论文标题

在小组的免费和直接产品之间

Between free and direct products of groups

论文作者

Gheysens, Maxime, Monod, Nicolas

论文摘要

我们调查了中性元素的两个组$ g $和$ h $获得的组$ g \ vee h $。这项构造奇怪地与免费产品共享了一些属性,但有些与直接产品共享。 我们的结果与其他属性(t),CAT(0)立方复合物,局部嵌入性,可正常的动作以及$ g \ vee H $的代数结构有关。

We investigate the group $G \vee H$ obtained by gluing together two groups $G$ and $H$ at the neutral element. This construction curiously shares some properties with the free product but others with the direct product. Our results address among others Property (T), CAT(0) cubical complexes, local embeddability, amenable actions, and the algebraic structure of $G \vee H$.

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