کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4589141 1334208 2006 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A variation on theorems of Jordan and Gluck
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
A variation on theorems of Jordan and Gluck
چکیده انگلیسی

Gluck proved that any finite group G has an abelian subgroup A such that |G:A| is bounded by a polynomial function of the largest degree of the complex irreducible characters of G. This improved on a previous bound of Isaacs and Passman. In this paper, we present a variation of this result that looks at the number of prime factors. All these results, in turn, may be seen as variations on the classical theorem of Jordan on linear groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 301, Issue 1, 1 July 2006, Pages 274-279