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A generalization of the three-distance theorem for groups

✍ Scribed by E. Fried; Vera T. Sós


Publisher
Springer
Year
1992
Tongue
English
Weight
595 KB
Volume
29
Category
Article
ISSN
0002-5240

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📜 SIMILAR VOLUMES


A generalization to noncommutative group
✍ Gilles Zemor 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 449 KB

We generalise to noncommutative groups, a theorem of Mann concerning the minimum possible cardinality of the sum of two arbitrary subsets of a finite group. We propose the following generalisation. ## Theorem 1.2. Let G be a$nite group and S a subset of G. Iffor every proper subgroup HofG and ISHI