کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9493360 | 1334237 | 2005 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Character degrees of p-groups and pro-p groups
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
In the 1970s, Isaacs conjectured that there should be a logarithmic bound for the length of solvability of a p-group G with respect to the number of different irreducible character degrees of G. So far, there are just a few partial results for this conjecture. In this note, we say that a pro-p group G has property (I) if there is a real number D=D(G) that just depends on G such that for any open normal subgroup N, dl(G/N)⩽log2|cd(G/N)|+D. We prove that any p-adic analytic pro-p group has property (I). We also study the first congruence subgroup G of a classical Chevalley group G with respect to the local ring Fpãtã. We show that if Lie(G)(Fp) has a non-degenerated Killing form, then G has property (I).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 286, Issue 2, 15 April 2005, Pages 476-491
Journal: Journal of Algebra - Volume 286, Issue 2, 15 April 2005, Pages 476-491
نویسندگان
Alireza Salehi Golsefidy,