کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
8896034 1630408 2018 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Brauer relations for finite groups in the ring of semisimplified modular representations
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Brauer relations for finite groups in the ring of semisimplified modular representations
چکیده انگلیسی
Let G be a finite group and p be a prime. We study the kernel of the map, between the Burnside ring of G and the Grothendieck ring of Fp[G]-modules, taking a G-set to its associated permutation module. We are able, for all finite groups, to classify the primitive quotient of the kernel; that is for each G, the kernel modulo elements coming from the kernel for proper subquotients of G. We are able to identify exactly which groups have non-trivial primitive quotient and we give generators for the primitive quotient in the soluble case.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 506, 15 July 2018, Pages 429-444
نویسندگان
,