Browse Graduate Dissertations and Theses at Illinois by Subject "free group"
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Algorithmic and statistical properties of filling elements of a free group, and quantitative residual properties of gamma-limit groups (2011-05-25)A filling subgroup of a finitely generated free group F(X) is a subgroup which does not fix a point in any very small action free action on an R-tree. For the free group of rank two, we construct a combinatorial algorithm ...
(2011-05-25)We consider the class non-surjective irreducible endomorphisms of the free group F_n. We show that such an endomorphism \phi is topologically represented by a simplicial immersion f:G \rightarrow G of a marked graph G; ...