A note on a characterization of generalized quaternion 2-groups

作者:Chen, Yanheng*; Chen, Guiyun
来源:Comptes Rendus Mathematique, 2014, 352(6): 459-461.
DOI:10.1016/j.crma.2014.04.009

摘要

In this note, we answer an open problem posed in M. Tarnaceanu (2010) [5], and obtain that the generalized quaternion 2-groups are the unique finite noncyclic groups whose posets of conjugacy classes of cyclic subgroups have breaking points.