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A generalization to noncommutative groups of a theorem of Mann

✍ Scribed by Gilles Zemor

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 449 KB
Volume: 126
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)90279-8

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✦ Synopsis

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 ISHI2ISI+IHI-1

(3)

IHSI2ISI+IHI-1, (4)

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