Distortion of Wreath Products in Some Finitely Presented Groups
نویسنده
چکیده
Wreath products such as Z ≀ Z are not finitely-presentable yet can occur as subgroups of finitely presented groups. Here we compute the distortion of Z ≀ Z as a subgroup of Thompson’s group F and as a subgroup of Baumslag’s metabelian group G. We find that Z ≀ Z is undistorted in F but is at least exponentially distorted in G.
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تاریخ انتشار 2005