Residually Finite Groups

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Exercises in Cellular Automata and Groups

Abstract

This chapter is mainly devoted to residual finiteness of groups, monoids, and rings, and to the Hopf property for groups. It includes a discussion of the profinite, pronilpotent, prosolvable, and proamenable completions of a group.

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Ceccherini-Silberstein, T., Coornaert, M. (2023). Residually Finite Groups. In: Exercises in Cellular Automata and Groups. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-031-10391-9_2

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