✦ LIBER ✦

On near subgroups

✍ Scribed by I. Krasikov; J. Schonheim

Publisher: Elsevier Science
Year: 1994
Tongue: English
Weight: 206 KB
Volume: 124
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(92)00056-w

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✦ Synopsis

If, for every member a of a subset A of elements of an abelian group G, there is an automorphism 8, of G such that A + a = B,(A), then A is called a near-subgroup of G. If OE A and the order of G is odd, then A is a subgroup of G; otherwise A is not necessarily a coset. However, we show that for a cyclic group of a squarefree order any near-subgroup is a coset. A graph-theoretical motivation is emphasized.

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