On B(5, 18) Groups |
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| Authors: | Hongdi Huang |
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| Affiliation: | Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu Province, P.R. China |
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| Abstract: | A group G is said to be a B(n, k) group if for any n-element subset A of G, |A2| ≤k. In this paper, a characterization of B(5, 18) groups is given. It is shown that G is a B(5, 18) group if and only if one of the following statements holds: (1) G is abelian; (2) |G| ≤18; (3) G ? ? a, b | a5 = b4 = 1, ab = a?1 ?. |
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| Keywords: | B(n k) groups Small squaring property |
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