کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4586697 1334110 2009 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Minimizing representations over number fields II: Computations in the Brauer group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Minimizing representations over number fields II: Computations in the Brauer group
چکیده انگلیسی

Finding minimal fields of definition for representations of finite groups is one of the most important unsolved problems of computational representation theory. While good methods exist for representations over finite fields, it is still an open question in the case of number fields. Continuing and extending previous work, we give a practical method for finding defining fields of minimal degree for absolutely irreducible representations. The method is based on techniques from Galois cohomology and the use of an explicit form of a weak Grunwald–Wang theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 322, Issue 3, 1 August 2009, Pages 752-765