کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4596179 1336154 2015 12 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orthogonal units of the bifree double Burnside ring
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Orthogonal units of the bifree double Burnside ring
چکیده انگلیسی

The bifree double Burnside ring BΔ(G,G)BΔ(G,G) of a finite group G   has a natural anti-involution. We study the group B∘Δ(G,G) of orthogonal units in BΔ(G,G)BΔ(G,G). It is shown that this group is always finite and contains a subgroup isomorphic to B(G)×⋊Out(G)B(G)×⋊Out(G), where B(G)×B(G)× denotes the unit group of the Burnside ring of G   and Out(G)Out(G) denotes the outer automorphism group of G. Moreover it is shown that if G   is nilpotent then B∘Δ(G,G)≅B(G)×⋊Out(G). The results can be interpreted as positive answers to questions on equivalences of p-blocks of group algebras in the case that the block is the group algebra of a p-group.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 219, Issue 1, January 2015, Pages 47–58
نویسندگان
, ,