Geodesic
Stability in a group
G. Conant1 orcid
1University of Cambridge, UK
Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1297-1330

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DOI

We develop local stable group theory directly from topological dynamics, and extend the main tools in this subject to the setting of stability “in a model.” Specifically, given a group G, we analyze the structure of sets A⊆G such that the bipartite relation xy∈A omits infinite half-graphs. Our proofs rely on the characterization of model-theoretic stability via Grothendieck's “double-limit” theorem (as shown by Ben Yaacov), and the work of Ellis and Nerurkar on weakly almost periodic G-flows.
DOI : 10.4171/ggd/631
Classification : 37-XX, 03-XX, 20-XX
Mots-clés : Stable groups, weakly almost periodic flows, local stability

G. Conant  1

1 University of Cambridge, UK 
G. Conant. Stability in a group. Groups, geometry, and dynamics, Tome 15 (2021) no. 4, pp. 1297-1330. doi: 10.4171/ggd/631
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     title = {Stability in a group},
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     year = {2021},
     volume = {15},
     number = {4},
     doi = {10.4171/ggd/631},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/631/}
}
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