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- W4297795295 abstract "In this article, we examine how the structure of soluble groups of infinite torsion-free rank with no section isomorphic to the wreath product of two infinite cyclic groups can be analysed. As a corollary, we obtain that if a finitely generated soluble group has a defined Krull dimension and has no sections isomorphic to the wreath product of two infinite cyclic groups then it is a group of finite torsion-free rank. There are further corollaries including applications to return probabilities for random walks. The paper concludes with constructions of examples that can be compared with recent constructions of Brieussel and Zheng." @default.
- W4297795295 created "2022-10-01" @default.
- W4297795295 creator A5027743321 @default.
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- W4297795295 date "2018-05-29" @default.
- W4297795295 modified "2023-10-14" @default.
- W4297795295 title "Soluble groups with no $mathbb{Z} wr mathbb{Z}$ sections" @default.
- W4297795295 doi "https://doi.org/10.48550/arxiv.1805.11497" @default.
- W4297795295 hasPublicationYear "2018" @default.
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