کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587850 1334162 2008 30 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An algebraic classification of some solvable groups of homeomorphisms
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An algebraic classification of some solvable groups of homeomorphisms
چکیده انگلیسی

We produce two separate algebraic descriptions of the isomorphism classes of the solvable subgroups of the group PLo(I) of piecewise-linear orientation-preserving homeomorphisms of the unit interval under the operation of composition, and also of the generalized R. Thompson groups Fn. The first description is as a set of isomorphism classes of groups which is closed under three algebraic operations, and the second is as the set of isomorphism classes of subgroups of a countable collection of easily described groups. We show the two descriptions are equivalent.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 4, 15 February 2008, Pages 1368-1397