کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
401933 676760 2008 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Algorithms for computing with nilpotent matrix groups over infinite domains
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر هوش مصنوعی
پیش نمایش صفحه اول مقاله
Algorithms for computing with nilpotent matrix groups over infinite domains
چکیده انگلیسی

We develop methods for computing with matrix groups defined over a range of infinite domains, and apply those methods to the design of algorithms for nilpotent groups. In particular, we provide a practical nilpotency testing algorithm for matrix groups over an infinite field. We also provide algorithms to answer a number of structural questions for a nilpotent matrix group.The main algorithms have been implemented in GAP, for groups over the rational number field.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Symbolic Computation - Volume 43, Issue 1, January 2008, Pages 8-26