学术报告：Finite non-cyclic nilpotent groups whose number of subgroups is minimal
发布时间：2021-04-29 浏览次数：225
报告人：桂林电子科技大学 孟伟 教授
报告时间：2021年4月29日 19:00-21:00
报告地点：雁山校区理1-512
摘要：Let G be a finite group and s(G) denote the number of subgroups of G. Aivazidis and Muller proved that if G is a non-cyclic p-group of order p^{\lambda}, then s(G)\geq 6 whenever p^{\lambda}=2^3; s(G)\geq (p+1)(\lambda-1)+2 whenever p^{\lambda}\neq 2^3. In this talk, we generalize the results of Aivazidis and Muller on all finite non-cyclic nilpotent groups. Lower bounds on s(G) of non-cyclic nilpotent groups G are established.