کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4595774 | 1336134 | 2016 | 25 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Finite groups with only one p-singular Brauer character degree
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Recently, Isaacs, Moretó, Navarro, and Tiep investigated finite groups with just one irreducible character degree divisible by a given prime p, and showed that their Sylow p-subgroups are almost normal and almost abelian. In this paper, we consider the corresponding situation for Brauer characters. In particular, we show that if a finite group G has just one irreducible p-Brauer character degree n divisible by p≥5p≥5 then either G/Op(G)G/Op(G) has a non-normal T.I. Sylow p -subgroup of order npnp, or G has a nonabelian chief factor of order divisible by p that is unique and is a simple group of Lie type of characteristic p.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 220, Issue 9, September 2016, Pages 3182–3206
Journal: Journal of Pure and Applied Algebra - Volume 220, Issue 9, September 2016, Pages 3182–3206
نویسندگان
Yanjun Liu,