کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587761 1334157 2008 25 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Duality for almost completely decomposable groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Duality for almost completely decomposable groups
چکیده انگلیسی

We establish a duality for near-isomorphism categories of almost completely decomposable groups through a combination of Butler duality and Warfield duality. We are then able to dualize results in the literature to obtain classifications and structure theories for new classes of almost completely decomposable groups. For example, known results on p-local crq-groups, those groups X that contain a completely decomposable subgroup B with X/B a cyclic p-group, can be dualized to results on p-local co-crq groups, those groups Y that embed in a completely decomposable group B so that the quotient B/Y is a cyclic p-group. A variety of other applications is given.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 7, 1 April 2008, Pages 3028-3052