کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9497349 | 1630756 | 2005 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On *-orderable groups
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
We introduce the class of *-orderable groups as those groups G for which the complex group ring CG with the standard involution is *-orderable. In (Algebras and Representation Theory, to appear) the authors proved that residually torsion-free nilpotent groups are *-orderable and that every *-orderable group is orderable. We prove that being a *-orderable group is a local and residual property and deduce that the class of residually torsion-free nilpotent groups is strictly contained in the class of *-orderable groups. Further, it is proved that *-orderable groups are elementary (and even a quasi-variety) in the language of groups and contain certain normal series. In the last section, we give a countable family of orderable metabelian groups that are not *-orderable.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 200, Issues 1â2, 1 August 2005, Pages 25-35
Journal: Journal of Pure and Applied Algebra - Volume 200, Issues 1â2, 1 August 2005, Pages 25-35
نویسندگان
Igor Klep, Primož Moravec,