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@article{Evans:2021:10.1016/j.jalgebra.2021.04.035,
author = {Evans, DM and Hubicka, J and Konecny, M and Li, Y and Ziegler, M},
doi = {10.1016/j.jalgebra.2021.04.035},
journal = {Journal of Algebra},
pages = {163--179},
title = {Simplicity of the automorphism groups of generalised metric spaces},
url = {http://dx.doi.org/10.1016/j.jalgebra.2021.04.035},
volume = {584},
year = {2021}
}

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TY  - JOUR
AB  - Tent and Ziegler proved that the automorphism group of the Urysohn sphere is simple and that the automorphism group of the Urysohn space is simple modulo bounded automorphisms. A key component of their proof is the definition of a stationary independence relation (SIR). In this paper we prove that the existence of a SIR satisfying some extra axioms is enough to prove simplicity of the automorphism group of a countable structure. The extra axioms are chosen with applications in mind, namely homogeneous structures which admit a “metric-like amalgamation”, for example all primitive 3-constrained metrically homogeneous graphs of finite diameter from Cherlin's list.
AU  - Evans,DM
AU  - Hubicka,J
AU  - Konecny,M
AU  - Li,Y
AU  - Ziegler,M
DO  - 10.1016/j.jalgebra.2021.04.035
EP  - 179
PY  - 2021///
SN  - 0021-8693
SP  - 163
TI  - Simplicity of the automorphism groups of generalised metric spaces
T2  - Journal of Algebra
UR  - http://dx.doi.org/10.1016/j.jalgebra.2021.04.035
UR  - https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000663941600007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
UR  - https://www.sciencedirect.com/science/article/pii/S0021869321002817?via%3Dihub
UR  - http://hdl.handle.net/10044/1/102181
VL  - 584
ER  -

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