✦ LIBER ✦

Near subgroups of groups

✍ Scribed by D.G. Hoffman; Sylvia Hobart; Ronald C. Mullin

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 467 KB
Volume: 146
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(94)00061-0

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✦ Synopsis

A finite subset A of a group is a near subgroup if the number of ordered pairs (x, y) e A 2 with xy ~ A is at most I A [. We show here that if I A I >/5, then A is a near subgroup if and only if A w {g} is a subgroup for some group element g. We also classify the counterexamples if LAI~< 4.

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