Geodesic
Automorphisms of a rooted tree of countable valency
Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 15, Tome 343 (2007), pp. 199-205

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We study automorphisms of a rooted tree of infinite countable valency. We introduce two families of subgroups associated to growths of functions. This gives a classification of large sublattice of subgroups. 
@article{ZNSL_2007_343_a6,
     author = {W. Holubowski},
     title = {Automorphisms of a rooted tree of countable valency},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {199--205},
     publisher = {mathdoc},
     volume = {343},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2007_343_a6/}
}
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W. Holubowski. Automorphisms of a rooted tree of countable valency. Zapiski Nauchnykh Seminarov POMI, Problems in the theory of representations of algebras and groups. Part 15, Tome 343 (2007), pp. 199-205. http://geodesic.mathdoc.fr/item/ZNSL_2007_343_a6/