Geodesic
On self-similar subgroups in the sense of IFS
Communications in Mathematics, Tome 26 (2018) no. 1, pp. 1-10

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In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterated function system (IFS). We then prove that some subgroups of $p$-adic numbers $\mathbb{Q}_{p}$ are strong self-similar in the sense of IFS.
Classification : 11E95, 28A80, 47H10
Keywords: Self-similar group; Cantor set; $p$-adic integers. 
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     author = {Saltan, Mustafa},
     title = {On self-similar subgroups in the sense of {IFS}},
     journal = {Communications in Mathematics},
     pages = {1--10},
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     zbl = {06996469},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/COMIM_2018__26_1_a0/}
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Saltan, Mustafa. On self-similar subgroups in the sense of IFS. Communications in Mathematics, Tome 26 (2018) no. 1, pp. 1-10. http://geodesic.mathdoc.fr/item/COMIM_2018__26_1_a0/