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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...

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Main Authors: Chin, A. Y. M., Wang, K. L., Wong, Kok Bin
Format: Article
Published: Taylor & Francis Inc 2022
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/42021/
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spelling my.um.eprints.420212023-10-18T04:43:29Z http://eprints.um.edu.my/42021/ On the size of complete decompositions of finite cyclic groups Chin, A. Y. M. Wang, K. L. Wong, Kok Bin QA Mathematics 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. Taylor & Francis Inc 2022-10-03 Article PeerReviewed Chin, A. Y. M. and Wang, K. L. and Wong, Kok Bin (2022) On the size of complete decompositions of finite cyclic groups. Communications In Algebra, 50 (10). pp. 4145-4154. ISSN 0092-7872, DOI https://doi.org/10.1080/00927872.2022.2057520 <https://doi.org/10.1080/00927872.2022.2057520>. 10.1080/00927872.2022.2057520
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Chin, A. Y. M.
Wang, K. L.
Wong, Kok Bin
On the size of complete decompositions of finite cyclic groups
description 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.
format Article
author Chin, A. Y. M.
Wang, K. L.
Wong, Kok Bin
author_facet Chin, A. Y. M.
Wang, K. L.
Wong, Kok Bin
author_sort Chin, A. Y. M.
title On the size of complete decompositions of finite cyclic groups
title_short On the size of complete decompositions of finite cyclic groups
title_full On the size of complete decompositions of finite cyclic groups
title_fullStr On the size of complete decompositions of finite cyclic groups
title_full_unstemmed On the size of complete decompositions of finite cyclic groups
title_sort on the size of complete decompositions of finite cyclic groups
publisher Taylor & Francis Inc
publishDate 2022
url http://eprints.um.edu.my/42021/
_version_ 1781704583583629312
score 13.211869

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