A note on the product of element orders of finite abelian groups
Given a finite group G, we denote by ? '(G) the product of element orders of G. Our main result proves that the restriction of ? ' to abelian p-groups of order pn is strictly increasing with respect to a natural order on the groups relating to the lexicographic order of the partitions of n...
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| Format: | Journal |
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Bulletin of the Malaysian Mathematical Sciences Society , Malaysian Mathematical Sciences Society, Universiti Sains Malaysia, Springer
2013
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| Online Access: | http://www.myjurnal.my/public/article-view.php?id=76580 |