Let G be a transitive group.We mainly prove that the group(G,a)is primitive for a given special permutation a and the semigroup(G,a)is synchronizing for a given special transformationα.
基金National Natural Science Foundation of China(12401024,11871360,12171222)Young Innovative Talents Project at Guangdong Universities(2021KQNCX048)+1 种基金Ph.D.Research Startup Foundation of Lingnan Normal University(ZL1924)Natural Science Foundation of Guangdong Province(2022A1515010964,2019A1515011031).
文摘Let G be a transitive group.We mainly prove that the group(G,a)is primitive for a given special permutation a and the semigroup(G,a)is synchronizing for a given special transformationα.
