On decidability of amenability in computable groups

نویسندگان

چکیده

In this paper we extend the approach of M. Cavaleri to effective amenability class computably enumerable groups, i.e. in particular do not assume that groups are finitely generated. case computable also study complexity set all F{\o}lner sequences and paradoxical decomposition. appendix attach a version "On decidability groups" by K. Duda A. Ivanov which covers Sections 9 10 from previous version.

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ژورنال

عنوان ژورنال: Archive for Mathematical Logic

سال: 2022

ISSN: ['1432-0665', '0933-5846']

DOI: https://doi.org/10.1007/s00153-022-00819-5