کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4647737 | 1342371 | 2013 | 6 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The existence of strong complete mappings of finite groups: A survey
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات گسسته و ترکیبات
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A complete mapping of a group G is a bijection θ:GâG for which the mapping xâ¦xθ(x) is a bijection, and a strong complete mapping of a group G is a complete mapping θ of G for which the mapping xâ¦xâ1θ(x) is also a bijection. Complete mappings and strong complete mappings have several combinatorial applications. While the existence problem for complete mappings of finite groups has been settled, very little is known about the existence of strong complete mappings of finite groups. We survey the known existence results for strong complete mappings of finite groups and we suggest directions for further work on this existence problem.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Discrete Mathematics - Volume 313, Issue 11, 6 June 2013, Pages 1191-1196
Journal: Discrete Mathematics - Volume 313, Issue 11, 6 June 2013, Pages 1191-1196
نویسندگان
Anthony B. Evans,