1. On B(5,20) 2-Groups.
- Author
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Alhassan, E.A., Tan, Y.L., and Li, Y.
- Subjects
- *
FINITE groups - Abstract
A finite 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. It is of interest to characterize the structure of B (n , k) groups for n (n + 1) / 2 ≤ k ≤ n 2 − 1. The B (5 , k) groups for 15 ≤ k ≤ 19 have been investigated by several authors. In this paper, we give a complete characterization of B (5 , 20) 2-groups by showing there are five classes of such groups which are nontrivial and nonabelian. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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