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Davenport constant : ウィキペディア英語版
Davenport constant

In mathematics, the Davenport constant of a group determines how large a sequence of elements can be without containing a subsequence of elements which sum to zero. Its determination is an example of a zero-sum problem.
In general, a finite abelian group ''G'' is considered. The Davenport constant ''D''(''G'') is the smallest integer ''d'' such that every sequence of elements of ''G'' of length ''d'' contains a non-empty subsequence with sum equal to the zero element of ''G''.〔
==Examples==

* The Davenport constant for the cyclic group ''G'' = Z/''n'' is ''n''.
* If ''G'' is a ''p''-group,
::G = \oplus_i C_ - 1}\right) \ .

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Davenport constant」の詳細全文を読む



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