Sh:929

• Herden, D., & Shelah, S. (2010). \kappa-fold transitive groups. Forum Math., 22(4), 627–640. DOI: 10.1515/FORUM.2010.034 MR: 2661440
• Abstract:
  A group G of type 0 is called \kappa-transitive for some cardinal \kappa >0 if for any ordered pair of pure elements x,y \in G there exist exactly \kappa-many \varphi \in {\rm Aut} G such that x\varphi =y. We shows the existence of large \kappa-transitive groups for every \kappa\ge \aleph_0 assuming V=L and ZFC respectively.
• published version (15p)

@article{Sh:929,
 author = {Herden, Daniel and Shelah, Saharon},
 title = {{$\kappa$-fold transitive groups}},
 journal = {Forum Math.},
 fjournal = {Forum Mathematicum},
 volume = {22},
 number = {4},
 year = {2010},
 pages = {627--640},
 issn = {0933-7741},
 mrnumber = {2661440},
 mrclass = {20K20 (03E05 03E35 20K15)},
 doi = {10.1515/FORUM.2010.034}
}