کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6414726 | 1630515 | 2014 | 18 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Factoring formal maps into reversible or involutive factors
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
An element g of a group is called reversible if it is conjugate in the group to its inverse. An element is an involution if it is equal to its inverse. This paper is about factoring elements as products of reversibles in the group Gn of formal maps of (Cn,0), i.e. formally-invertible n-tuples of formal power series in n variables, with complex coefficients. The case n=1 was already understood [25].Each product F of reversibles has linear part L(F) of determinant ±1. The main results are that for n⩾2 each map F with det(L(F))=±1 is the product of 2+3â ceiling(log2n) reversibles, and may also be factored as the product of 9+6â ceiling(log2n) involutions (where the ceiling of x is the smallest integer ⩾x).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 399, 1 February 2014, Pages 657-674
Journal: Journal of Algebra - Volume 399, 1 February 2014, Pages 657-674
نویسندگان
Anthony G. OʼFarrell, Dmitri Zaitsev,