Covering abelian groups with cyclic subsets |
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Authors: | Ali Akbar Dad-del |
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Institution: | (1) Department of Mathematics, University of California, 95616 Davis, CA, USA |
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Abstract: | Summary Letk andm be positive integers. An abelian groupG is said to have ann-cover if there is a subsetS ofG consisting ofn elements such that every non-zero element ofG can be expressed in the formig for some elementg inS and integeri, 1 i k. Lets
n
(k) be the largest order of abelian groups that have ann-cover. We investigate the behavior ofs
n
(k)/k ask andn is fixed. |
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Keywords: | Primary 20 Secondary 520511 |
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