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Some structure theorems for infinite Abelian P-groups

✍ Scribed by A.Richard Mitchell; Roger W Mitchell

Publisher
Elsevier Science
Year
1967
Tongue
English
Weight
295 KB
Volume
5
Category
Article
ISSN
0021-8693

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Let \(a_{1}, \ldots, a_{k}\) be a sequence of elements in an Abelian group of order \(n\) (repetition allowed). In this paper, we give two sufficient conditions such that an element \(g \in G\) can be written in the form \(g=a_{i_{1}}+a_{i_{2}}+\cdots+a_{i_{n}}, 1 \leqslant i_{1}<i_{2}<\cdots<i_{n}