OnB6- andB7-groups

作者：Zhong, Tianyi; Tan, Yilan^*

来源：Frontiers of Mathematics in China, 2020, 15(3): 613-616.

DOI：10.1007/s11464-020-0841-1

• B-n-groups
• B(n
• k) groups
• small squaring property
• nonabelian groups

A finite groupGis said to be aB(n)-group if anyn-element subsetA= {a(1),a(2),...,a(n)} ofGsatisfies |A(2)| = |{a(i)a(j)| 1 <= i,j <= n}| <= n(n+ 1)/2. In this paper, the characterizations of theB(6)- andB(7)-groups are given.

• 单位
  江苏大学