A minimal non-solvable group of homeomorphisms
نویسندگان
چکیده
منابع مشابه
A Minimal Non-solvable Group of Homeomorphisms
Let PL0(I) represent the group of orientation-preserving piecewise-linear homeomorphisms of the unit interval which admit finitely many breaks in slope, under the operation of composition. We find a non-solvable groupW and show thatW embeds in every non-solvable subgroup of PL0(I). We find mild conditions under which other non-solvable subgroups (B, (≀Z≀), (Z≀), and (≀Z)) embed in subgroups of ...
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We investigate subgroups of the group PLo(I) of piecewise-linear, orientation-preserving homeomorphisms of the unit interval with finitely many breaks in slope, under the operation of composition, and also subgroups of generalized Thompson groups Fn. We find geometric criteria determining the derived length of any such group, and use this criteria to produce a geometric classification of the so...
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ژورنال
عنوان ژورنال: Groups, Geometry, and Dynamics
سال: 2009
ISSN: 1661-7207
DOI: 10.4171/ggd/50