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On B6- and B7-groups

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Abstract

A finite group G is said to be a Bn-group if any n-element subset A = {a1, a2,..., an} of G satisfies |A2| = |{aiaj | 1 ⩽ i, j ⩽ n}| ⩽ n(n + 1)/2. In this paper, the characterizations of the B6- and B7-groups are given.

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Acknowledgements

The second author acknowledges the support of the Jiangsu University (Grant No. 5501190011).

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University, Zhenjiang, 212013, China

    Tianyi Zhong & Yilan Tan

  2. School of Mathematics, South China University of Technology, Guangzhou, 510641, China

    Tianyi Zhong

Authors
  1. Tianyi Zhong
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  2. Yilan Tan
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Correspondence to Yilan Tan.

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Zhong, T., Tan, Y. On B6- and B7-groups. Front. Math. China 15, 613–616 (2020). https://doi.org/10.1007/s11464-020-0841-1

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  • DOI: https://doi.org/10.1007/s11464-020-0841-1

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