Orbits of Permutation Groups on Unordered Sets, IV: Homogeneity and Transitivity
1983; Wiley; Volume: s2-27; Issue: 2 Linguagem: Inglês
10.1112/jlms/s2-27.2.238
ISSN1469-7750
Autores Tópico(s)Advanced Topology and Set Theory
ResumoJournal of the London Mathematical SocietyVolume s2-27, Issue 2 p. 238-247 Notes and papers Orbits of Permutation Groups on Unordered Sets, IV: Homogeneity and Transitivity Peter J. Cameron, Peter J. Cameron Merton College, Oxford OX1 4JDSearch for more papers by this author Peter J. Cameron, Peter J. Cameron Merton College, Oxford OX1 4JDSearch for more papers by this author First published: April 1983 https://doi.org/10.1112/jlms/s2-27.2.238Citations: 9AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onEmailFacebookTwitterLinkedInRedditWechat Abstract We construct and characterise a 3-homogeneous but not 2-primitive permutation group H of countable degree. It has a transitive extension J which is 5-homogeneous but not 3-primitive; the number nk(J) of orbits of J on k-sets is the number of boron trees with k end-vertices. Some groups related to other classes of trees are also constructed. An application to the growth rate of (nk(G)) for primitive groups G is given. Citing Literature Volumes2-27, Issue2April 1983Pages 238-247 RelatedInformation
Referência(s)