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Some counting theorems for finite groups

โœ Scribed by Mark Benard; Harold Finkelstein


Book ID
112500799
Publisher
Springer
Year
1975
Tongue
English
Weight
201 KB
Volume
26
Category
Article
ISSN
0003-889X

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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}