کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4583785 | 1630453 | 2016 | 37 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Cohomology and graded Witt group kernels for extensions of degree four in characteristic two
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In earlier work the authors determined the graded Witt kernel GWq(E/F)=ker(GWqF→GWqE)GWq(E/F)=ker(GWqF→GWqE) when E/FE/F is a biquadratic extension in characteristic 2 by calculating the cohomological kernel H2⁎(E/F)=ker(H2⁎F→H2⁎E). In this paper this result is extended to the cases where [E:F]=4[E:F]=4 and E is either cyclic or has dihedral Galois closure. In addition, the use of Izhboldin's Q-groups is generalized to obtain six-term exact sequences that describe the behavior of these graded rings whenever four-term exact sequences and homotopies describe the arithmetic of the extension. These tools are valid in characteristic p, although the applications here are in characteristic 2.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 461, 1 September 2016, Pages 314–350
Journal: Journal of Algebra - Volume 461, 1 September 2016, Pages 314–350
نویسندگان
Roberto Aravire, Bill Jacob,