论文信息 - Quantifying residual finiteness

Quantifying residual finiteness

Abstract We introduce the notion of quantifying the extent to which a finitely generated group is residually finite. We investigate this behavior for examples that include free groups, the first Grigorchuk group, finitely generated nilpotent groups, and certain arithmetic groups such as SL n ( Z ) . In the context of finite nilpotent quotients, we find a new characterization of finitely generated nilpotent groups.

Khalid Bou-Rabee | K. Bou-Rabee

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