On the size of complete decompositions of finite cyclic groups
Let G be an abelian group and A(1), ..., A(k) (k >= 2) be nonempty subsets of G. The sets A(1), ..., A(k) are said to form a complete decomposition of G of order k if G = A(l) + ... + A(k) and A(1), ..., A(k) are pairwise disjoint. The size of a complete decomposition A(1), ..., A(k) of G is defi...
محفوظ في:
| المؤلفون الرئيسيون: | , , |
|---|---|
| التنسيق: | مقال |
| منشور في: |
Taylor & Francis Inc
2022
|
| الموضوعات: | |
| الوصول للمادة أونلاين: | http://eprints.um.edu.my/42021/ |
| الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
| المؤسسة: | Universiti Malaya |
| الملخص: | Let G be an abelian group and A(1), ..., A(k) (k >= 2) be nonempty subsets of G. The sets A(1), ..., A(k) are said to form a complete decomposition of G of order k if G = A(l) + ... + A(k) and A(1), ..., A(k) are pairwise disjoint. The size of a complete decomposition A(1), ..., A(k) of G is defined to be = vertical bar boolean OR(k)(i=1)A(i)vertical bar. = Sigma(k)(i=1) vertical bar A(i)vertical bar. In this paper, we determine the minimum and maximum size of a complete decomposition of a finite cyclic group. |
|---|