On B6- and B7-groups

doi:10.1007/s11464-020-0841-1

Front. Math. China

2020, Vol. 15

Issue (3) : 613-616 https://doi.org/10.1007/s11464-020-0841-1

RESEARCH ARTICLE

On B₆- and B₇-groups

Tianyi ZHONG^1,², Yilan TAN¹(

)

¹. Faculty of Science, Jiangsu University, Zhenjiang 212013, China
². School of Mathematics, South China University of Technology, Guangzhou 510641, China

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Abstract

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

Keywords B_n-groups, B(n k) groups, small squaring property, nonabelian groups

Corresponding Author(s): Yilan TAN

Issue Date: 21 July 2020

Cite this article:

Tianyi ZHONG,Yilan TAN. On B₆- and B₇-groups[J]. Front. Math. China, 2020, 15(3): 613-616.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-020-0841-1
https://academic.hep.com.cn/fmc/EN/Y2020/V15/I3/613

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