Adding a Transformation to Imprimitive Transitive Groups  

作　　者：Wangwei Li Xianhua Li 

机构地区：[1]School of Mathematics and Statistics,Lingnan Normal University Zhanjiang,Guangdong 524048,China [2]School of Mathematical Sciences,Soochow University Suzhou,Jiangsu 215006,China

出　　处：《Algebra Colloquium》2024年第4期703-710,共8页代数集刊（英文版）

基　　金：National Natural Science Foundation of China(12401024,11871360,12171222);Young Innovative Talents Project at Guangdong Universities(2021KQNCX048);Ph.D.Research Startup Foundation of Lingnan Normal University(ZL1924);Natural Science Foundation of Guangdong Province(2022A1515010964,2019A1515011031).

摘　　要：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.

关 键 词：primitive groups completely regular semigroups synchronizing semigroups 

分 类 号：O152[理学—数学]