2024/10/22 by Jibiki, Chihaya, Maruyama, Shuhei
#06F15 (Primary) 20F60 #22F50 (Secondary) #37E10 #Dynamical Systems (math.DS) #FOS: Mathematics #Group Theory (math.GR)
paper · doi:10.48550/arxiv.2410.16932
In this paper, we construct countably many isolated circular orders on the free products G = F2n ∗ ℤm1 ∗ ⋯ ∗ ℤmk of cyclic groups. Moreover, we prove that these isolated circular orders are not the automorphic images of the others. By using these isolated circular orders, we also construct countably many isolated left orders on a certain central ℤ-extension of G, which are not the automorphic images of the others.