Publications
Article type
Year
Sort：
Published
Cited
Download
Original Article Issue
The Exceptional Hall Numbers
Zheng Guo, Yong Hu, Cai-Heng Li
Peking Mathematical Journal 2026, 9(3): 497-506
Published: 30 May 2025
Abstract Collect

A positive integer m is called a Hall number if any finite group of order precisely divisible by m has a Hall subgroup of order m. We prove that, except for the obvious examples, the three integers 12, 24 and 60 are the only Hall numbers, solving a problem proposed by Jiping Zhang.

Total 1