# 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)

Bib entry

@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} }