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arXiv · 2110.10203

Countable-configurations and paradoxical decompositions

M. Meisami·A. Rejali·A. Yousofzadeh
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Abstract

In this paper we define countable-configuration of groups and prove that two Hopfian groups with the same set of countable-configurations are isomorphic and vice versa. We also study the countable paradoxical decomposition of groups. It is proved that a group G admits a countable paradoxical decomposition if and only if it is infinite.

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BibTeXRIS

M. Meisami, A. Rejali, A. Yousofzadeh. 2021-10-19. Countable-configurations and paradoxical decompositions. https://arxiv.org/abs/2110.10203

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