Amenability and non-uniform growth of some directed automorphism groups of a rooted tree
Amenability and non-uniform growth of some directed automorphism groups of a rooted tree
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有根树的一些定向自同构群的顺从性和非均匀生长
DOI：
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发表时间：
2009
期刊：
影响因子：
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通讯作者：
Jérémie Brieussel
中科院分区：
文献类型：
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作者：
Jérémie Brieussel
给出了有界价球齐次根树的某些自同构群的顺从性的一个结果。它被用来构建不可数许多顺从的非均匀指数增长的群体。它们的凯莱图可以任意地接近于某些中间增长群的凯莱图。然而，这些群体不是在SG类的subexponentially顺从的群体。
A result of amenability of some automorphism groups of a spherically homogeneous rooted tree of bounded valency is given. It is used to construct uncountably many amenable groups of non-uniform exponential growth. Their Cayley graphs can be made arbitrary close to that of some groups of intermediate growth. Yet those groups are not in the class SG of subexponentially amenable groups.