کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4585268 | 1630526 | 2013 | 16 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Multiplicative Jordan decomposition in group rings with a Wedderburn component of degree 3
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
If G is a finite group whose integral group ring Z[G]Z[G] has the multiplicative Jordan decomposition property, then it is known that all Wedderburn components of the rational group ring Q[G]Q[G] have degree at most 3. While degree 3 components can occur, we prove here that if they do, then certain central units in Z[G]Z[G] cannot exist. With this, we are able to greatly simplify the argument that characterizes those 3-groups with integral group ring having MJD. Furthermore, we show that if G is a nonabelian semidirect product of the form Cp⋊C3kCp⋊C3k, with prime p>7p>7 and with the cyclic 3-group acting like a group of order 3, then Z[G]Z[G] does not have MJD.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 388, 15 August 2013, Pages 203–218
Journal: Journal of Algebra - Volume 388, 15 August 2013, Pages 203–218
نویسندگان
Chia-Hsin Liu, D.S. Passman,