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Solubility theorems for finite groups

✍ Scribed by Laffey, Thomas J.

Book ID
111901535
Publisher
Cambridge University Press
Year
1973
Tongue
English
Weight
345 KB
Volume
73
Category
Article
ISSN
0305-0041

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Addition Theorems for Finite Abelian Gro
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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}