Highly symmetric Steiner and Kirkman triple systems

报告学者:Tommaso Traetta 副教授

报告者单位:University of Brescia, Italy 

报告时间:2024年7月16日(周二)下午4:30-5:30

报告地点: 学生活动中心10层会议室  

报告摘要:Steiner and Kirkman triple systems (KTSs) are among the most popular combinatorial designs and their existence has been settled a long time ago. Yet, there are various open questions on the existence of triple systems having, in addition, a well-behaved automorphism group. 

In this talk, we will survey some recent constructive methods [1, 2, 3] that allowed us to build Steiner and Kirkman triple systems having an automorphism group that fixes $f$ points and acts sharply transitively on the remaining.