A geometrical interpretation of infinite wreath powers
A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal clo...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2014 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2014
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/153333 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | A geometrical interpretation of infinite wreath powers / V.H. Mikaelian // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 250–267. — Бібліогр.: 27 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862648151506157568 |
|---|---|
| author | Mikaelian, V.H. |
| author_facet | Mikaelian, V.H. |
| citation_txt | A geometrical interpretation of infinite wreath powers / V.H. Mikaelian // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 250–267. — Бібліогр.: 27 назв. — англ. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal closure of one of the generators is locally soluble.
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| first_indexed | 2025-12-01T14:20:28Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-153333 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T14:20:28Z |
| publishDate | 2014 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Mikaelian, V.H. 2019-06-14T03:22:22Z 2019-06-14T03:22:22Z 2014 A geometrical interpretation of infinite wreath powers / V.H. Mikaelian // Algebra and Discrete Mathematics. — 2014. — Vol. 18, № 2. — С. 250–267. — Бібліогр.: 27 назв. — англ. 1726-3255 2010 MSC:20E08, 20E22, 20F16. https://nasplib.isofts.kiev.ua/handle/123456789/153333 A geometrical construction based on an infinite tree graph is suggested to illustrate the concept of infinite wreath powers of P.Hall. We use techniques based on infinite wreath powers and on this geometrical constriction to build a 2-generator group which is not soluble, but in which the normal closure of one of the generators is locally soluble. The author was supported in part by SCS RA, joint Armenian-Russian research project 13RF-030 and by State Committee Science MES RA grant in frame of project 13-1A246. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics A geometrical interpretation of infinite wreath powers Article published earlier |
| spellingShingle | A geometrical interpretation of infinite wreath powers Mikaelian, V.H. |
| title | A geometrical interpretation of infinite wreath powers |
| title_full | A geometrical interpretation of infinite wreath powers |
| title_fullStr | A geometrical interpretation of infinite wreath powers |
| title_full_unstemmed | A geometrical interpretation of infinite wreath powers |
| title_short | A geometrical interpretation of infinite wreath powers |
| title_sort | geometrical interpretation of infinite wreath powers |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/153333 |
| work_keys_str_mv | AT mikaelianvh ageometricalinterpretationofinfinitewreathpowers AT mikaelianvh geometricalinterpretationofinfinitewreathpowers |