On Self-Similar Subgroups in the Sense of IFS
In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers ℚp are strong self-similar in the sense of IFS.
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| Format: | Article |
| Language: | English |
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Sciendo
2018-06-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.2478/cm-2018-0001 |
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doaj-d154e9fef99f411ca3c4db545b7da3992021-09-06T19:22:05ZengSciendoCommunications in Mathematics2336-12982018-06-0126111010.2478/cm-2018-0001cm-2018-0001On Self-Similar Subgroups in the Sense of IFSSaltan Mustafa0Department of Mathematics, Anadolu University,Eskişehir, TurkeyIn this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers ℚp are strong self-similar in the sense of IFS.https://doi.org/10.2478/cm-2018-000147h1028a8011e95self-similar groupcantor setp-adic integers |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Saltan Mustafa |
| spellingShingle |
Saltan Mustafa On Self-Similar Subgroups in the Sense of IFS Communications in Mathematics 47h10 28a80 11e95 self-similar group cantor set p-adic integers |
| author_facet |
Saltan Mustafa |
| author_sort |
Saltan Mustafa |
| title |
On Self-Similar Subgroups in the Sense of IFS |
| title_short |
On Self-Similar Subgroups in the Sense of IFS |
| title_full |
On Self-Similar Subgroups in the Sense of IFS |
| title_fullStr |
On Self-Similar Subgroups in the Sense of IFS |
| title_full_unstemmed |
On Self-Similar Subgroups in the Sense of IFS |
| title_sort |
on self-similar subgroups in the sense of ifs |
| publisher |
Sciendo |
| series |
Communications in Mathematics |
| issn |
2336-1298 |
| publishDate |
2018-06-01 |
| description |
In this paper, we first give several properties with respect to subgroups of self-similar groups in the sense of iterate function system (IFS). We then prove that some subgroups of p-adic numbers ℚp are strong self-similar in the sense of IFS. |
| topic |
47h10 28a80 11e95 self-similar group cantor set p-adic integers |
| url |
https://doi.org/10.2478/cm-2018-0001 |
| work_keys_str_mv |
AT saltanmustafa onselfsimilarsubgroupsinthesenseofifs |
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