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A Generalization ofT-Groups

✍ Scribed by Edmundo R. Perez


Publisher
Springer
Year
2003
Weight
85 KB
Volume
26
Category
Article
ISSN
0129-2021

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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