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On B(4, 13) 2-Groups
Authors:Yuanlin Li  Yilan Tan
Affiliation:1. Department of Mathematics , Brock University , Ontario , Canada;2. Faculty of Science , Jiangsu University , Zhenjiang , Jiangsu , China yli@brocku.ca;4. Department of Mathematics , Brock University , Ontario , Canada
Abstract:A group G is said to be a B(n, k) group if for any n-element subset {a 1,…, a n } of G, |{a i a j  | 1 ≤ i, j ≤ n}| ≤k. In this article, we give a complete characterization of B(4, 13) 2-groups, and then obtain a complete characterization of B(4, 13) groups.
Keywords:B(n, k) Groups  Small squaring property
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