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On some sequencing problems in finite groups

โœ Scribed by Michael D. Miller; Richard J. Friedlander

Publisher
Elsevier Science
Year
1977
Tongue
English
Weight
876 KB
Volume
19
Category
Article
ISSN
0012-365X

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โœฆ Synopsis

A finite group is called Z-sequenceable if its non-identity eiements can be listed x,. x2,. . ., x, $0 that XIX,+~ =&+I& fC?r i 'l,Z,...,rZ-1. Various necessary and sufficient conditions are determined for such sequencings to exist. In particular, it is proved that if n B 3, then the symmetric grbup S,, is not Z-sequenceable.

๐Ÿ“œ SIMILAR VOLUMES

A Combinatorial Problem on Finite Abelia
A Combinatorial Problem on Finite Abelian Groups
โœ W.D. Gao ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 186 KB

In this paper the following theorem is proved. Let G be a finite Abelian group of order n. Then, n+D(G )&1 is the least integer m with the property that for any sequence of m elements a 1 , ..., a m in G, 0 can be written in the form 0= a 1 + } } } +a in with 1 i 1 < } } } <i n m, where D(G) is the