Loxodromic Elements in the Cyclic Splitting Complex and Their Centralizers
نویسنده
چکیده
We show that an outer automorphism acts loxodromically on the cyclic splitting complex if and only if it has a filling lamination and no generic leaf of the lamination is carried by a vertex group of a cyclic splitting. This is the analog for the cyclic splitting complex of HandelMosher’s theorem on loxodromics for the free splitting complex. We also show that such outer automorphisms have virtually cyclic centralizers.
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تاریخ انتشار 2017