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https://open.uns.ac.rs/handle/123456789/31347
Nаziv: | Automorphism groups of countable algebraically closed graphs and endomorphisms of the random graph | Аutоri: | Dolinka Igor Gray Robert D. McPhee Jillian D. Mitchell James D. Quick Martyn |
Dаtum izdаvаnjа: | 2016 | Čаsоpis: | Mathematical Proceedings of the Cambridge Philosophical Society | Sažetak: | Copyright © Cambridge Philosophical Society 2016. We establish links between countable algebraically closed graphs and the endomorphisms of the countable universal graph R. As a consequence we show that, for any countable graph Γ, there are uncountably many maximal subgroups of the endomorphism monoid of R isomorphic to the automorphism group of Γ. Further structural information about End R is established including that Aut Γ arises in uncountably many ways as a Schützenberger group. Similar results are proved for the countable universal directed graph and the countable universal bipartite graph. | URI: | https://open.uns.ac.rs/handle/123456789/31347 | ISSN: | 0305-0041 | DOI: | 10.1017/S030500411500078X |
Nаlаzi sе u kоlеkciјаmа: | PMF Publikacije/Publications |
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