کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4588646 1334191 2007 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Borel–Smith functions and the Dade group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Borel–Smith functions and the Dade group
چکیده انگلیسی

We show that there is an exact sequence of biset functors over p-groups0→Cb→jB∗→ΨDΩ→0 where CbCb is the biset functor for the group of Borel–Smith functions, B∗B∗ is the dual of the Burnside ring functor, DΩDΩ is the functor for the subgroup of the Dade group generated by relative syzygies, and the natural transformation Ψ is the transformation recently introduced by the first author in [S. Bouc, A remark on the Dade group and the Burnside group, J. Algebra 279 (2004) 180–190]. We also show that the kernel of mod 2 reduction of Ψ   is naturally equivalent to the functor B×B× of units of the Burnside ring and obtain exact sequences involving the torsion part of DΩDΩ, mod 2 reduction of CbCb, and B×B×.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 311, Issue 2, 15 May 2007, Pages 821–839
نویسندگان
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