Highly symmetric Steiner and Kirkman triple systems

?ュ??瀛﹁??锛?Tommaso Traetta ??????

?ュ??????浣?锛?University of Brescia, Italy 

?ュ???堕?达?2024骞???16?ワ??ㄤ?锛?涓???4:30-5:30

?ュ???扮?癸? 瀛︾??娲诲?ㄤ腑蹇?10灞?浼?璁??  

?ュ????瑕?锛?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.