D-sets Generated by a Subset of a Group
Keywords:
groups, D-sets, index minimumAbstract
A subset D of a group G is a D-set if every element of G, not in D, has its inverse in D. Let A be a non-empty subset of G. A smallest D-set of G that contains A is called a D-set generated by A, denoted by <A>. Note that <A> may not be unique. This paper characterized sets A with unique <A> and sets whose number of generated D-sets is equal to the index minimum.Downloads
Published
2016-01-27
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Section
Computer Science
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How to Cite
D-sets Generated by a Subset of a Group. (2016). European Journal of Pure and Applied Mathematics, 9(1), 34-38. https://ejpam.com/index.php/ejpam/article/view/2473