Whitehead graphs and separability in rank two
نویسندگان
چکیده
منابع مشابه
Whitehead Graphs and Separability in Rank Two
By applying an algorithm of Stallings regarding separability of elements in a free group, we give an alternative approach to that of Osborne and Zieschang in describing all primitive elements in the free group of rank 2. As a result, we give a proof of a classical result of Nielsen, used by Osborne and Zieschang in their work, that the only automorphisms of F2 that act trivially on the abeliani...
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Masur and Smillie, 1993, proved precisely which singularity index lists arise from pseudo-Anosov mapping classes. In search of an analogous theorem for outer automorphisms of free groups, Handel and Mosher, 2011, ask: Is each connected, simplicial, (2r − 1)-vertex graph the ideal Whitehead graph of a fully irreducible φ ∈ Out(Fr)? We answer this question in the negative by exhibiting, for each ...
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ژورنال
عنوان ژورنال: Involve, a Journal of Mathematics
سال: 2014
ISSN: 1944-4184,1944-4176
DOI: 10.2140/involve.2014.7.431