کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606611 | 1337716 | 2009 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The simplicity of certain groups of subanalytic diffeomorphisms
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The simplicity of certain groups of subanalytic diffeomorphisms The simplicity of certain groups of subanalytic diffeomorphisms](/preview/png/4606611.png)
چکیده انگلیسی
Let M be a connected real analytic manifold. We denote by Diffsubr(M)0, 1⩽r<∞1⩽r<∞, the group of subanalytic CrCr diffeomorphisms of M which are isotopic to the identity via a compactly supported subanalytic CrCr isotopy. We show that Diffsubr(M)0 satisfies Epstein's axioms. This implies that the commutator subgroup of Diffsubr(M)0 is simple. Moreover, we show that the commutator subgroup of Diffsubr(M)0 is dense in Diffsubr(M)0. As a corollary we obtain that Diffsubr(M)0 is topologically simple.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 27, Issue 5, October 2009, Pages 661–670
Journal: Differential Geometry and its Applications - Volume 27, Issue 5, October 2009, Pages 661–670
نویسندگان
Marja Kankaanrinta,