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- W2414248066 abstract "Abstract We investigate the recently obtained condition [9] for amenability of groups generated by bounded automorphisms of a spherically homogeneous rooted tree together with our group construction [13] based on the notion of a homogeneous automorphism and its crack. We establish the general condition answering the question when a group generated by homogeneous automorphisms and their cracks is amenable. We apply this result to the universal construction from [13], providing finitely generated, amenable groups, which are dense in infinitely iterated, permutational wreath products of transitive, Abelian groups." @default.
- W2414248066 created "2016-06-24" @default.
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- W2414248066 date "2016-06-07" @default.
- W2414248066 modified "2023-09-24" @default.
- W2414248066 title "On amenability of groups generated by homogeneous automorphisms and their cracks" @default.
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- W2414248066 doi "https://doi.org/10.1515/forum-2015-0231" @default.
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