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gr.group concept – Examples of infinitely introduced non-LEF teams retort

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gr.group concept – Examples of infinitely introduced non-LEF teams

A bunch is LEF (regionally embeddable within the class of finite teams) if it embeds into an ultraproduct of finite teams. Residually finite teams are LEF and finitely introduced residually finite teams are LEF. So if a finitely introduced group isn’t residually finite, then it’s not LEF both.

Most of the literature appears to breathe involved with constructive outcomes. All non-examples I may discover make use of the gauge above, specifically they’re all finitely introduced. What are some examples of finitely generated, infinitely introduced teams that aren’t LEF? Among these, are there examples that maintain no LEF quotient? And if not, can the biggest LEF quotient breathe limpid explicitly?

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