Engulfing and subgroup separability for hyperbolic groups

Long, D. D.

doi:10.1090/S0002-9947-1988-0951631-0

Engulfing and subgroup separability for hyperbolic groups
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by D. D. Long

Trans. Amer. Math. Soc. 308 (1988), 849-859

DOI: https://doi.org/10.1090/S0002-9947-1988-0951631-0

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Abstract:

If a group is subgroup separable, otherwise known as locally extended residually finite or LERF, one can pass from immersions to embeddings in some finite covering space. We show that a certain ’engulfing’ property gives subgroup separability for a large and useful class of subgroups of hyperbolic $3$-manifold groups.

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