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On Zero-Sum Subsequences of Restricted Size

✍ Scribed by Weidong Gao

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
228 KB
Volume
61
Category
Article
ISSN
0022-314X

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✦ Synopsis

Let G be a finite abelian group with exponent e, let r(G) be the minimal integer t with the property that any sequence of t elements in G contains an e-term subsequence with sum zero. In this paper we show that if r(C 2 n )=4n&3 and if n ((3m&4)(m&1) m 2 +3)Γ‚4m, then r(C 2 nm )=4nm&3. In particular, this result implies that r(C 2 nm 1 } } } mr )=4nm 1 } } } m r &3 provided that n=2 a 3 b 5 c 7 d , m 1 } } } m r and n ((3m 1 &4)(m 1 &1) m 2 1 +3)Γ‚4m 1 .

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