Groups, Geometry, and Dynamics
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Published online: 2014-10-02
Subgroups approximatively of finite index and wreath productsYves Cornulier (1) Université Paris-Sud, Orsay, France
In a group,we introduce a notion of subgroup approximatively of finite index, which extends the notion of groups approximable by finite groups. We deduce a characterization of (restricted, permutational) wreath products that are approximable by finite groups.
Keywords: Chabauty topology, profinite topology, space of subgroups, wreath products
Cornulier Yves: Subgroups approximatively of finite index and wreath products. Groups Geom. Dyn. 8 (2014), 775-788. doi: 10.4171/GGD/247