Geodesic
Groups associated with minimal flows
Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 471-477.

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Let $S$ be topological semigroup, we consider an appropriate semigroup compactification $\widehat{S}$ of $S$. In this paper we study the connection between subgroups of a maximal group in a minimal left ideal of $\widehat{S}$, which arise as equivalence classes of some closed left congruence, and the minimal flow characterized by the left congruence. A particular topology is defined on a maximal group and it is shown that a closed subgroup under this topology is precisely the intersection of an equivalence class with the maximal group for some left congruence on $\widehat{S}$.
Classification : 54H15, 54H20
Keywords: flow; dynamical system; left congruence; maximal group 
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     author = {Lawson, J. D. and Lisan, Amha T.},
     title = {Groups associated with minimal flows},
     journal = {Czechoslovak Mathematical Journal},
     pages = {471--477},
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     volume = {55},
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     zbl = {1081.54032},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a16/}
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Lawson, J. D.; Lisan, Amha T. Groups associated with minimal flows. Czechoslovak Mathematical Journal, Tome 55 (2005) no. 2, pp. 471-477. http://geodesic.mathdoc.fr/item/CMJ_2005__55_2_a16/