کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661010 1633120 2008 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On invariant tensors on the group ring of finite groups
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On invariant tensors on the group ring of finite groups
چکیده انگلیسی

In several papers author applied methods of algebraic topology to some topics in general topology; main applications are in dimension theory. An important tool of these investigations were two new types of spectral sequences. The first among them coincides with Cartan–Grothendieck sequence and thus involves the cohomology of a finite group. A description of second spectral sequence needs a new type of homology (cohomology) of a finite group which based on skew-symmetric invariant functions on the group ring of a finite group. The purpose of this article is to give a few principal approaches to study the structure of skew-symmetric invariant functions and, generally, of skew-symmetrical invariant tensors on the group ring of a finite group, bearing in mind further applications to topology.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issues 17–18, 15 October 2008, Pages 2048-2059