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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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Інститут прикладної математики і механіки НАН України
2014
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/153333 |
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irk-123456789-1533332019-06-15T01:26:59Z A geometrical interpretation of infinite wreath powers Mikaelian, V.H. 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. 2014 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/153333 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| language |
English |
| 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. |
| format |
Article |
| author |
Mikaelian, V.H. |
| spellingShingle |
Mikaelian, V.H. A geometrical interpretation of infinite wreath powers Algebra and Discrete Mathematics |
| author_facet |
Mikaelian, V.H. |
| author_sort |
Mikaelian, V.H. |
| title |
A geometrical interpretation of infinite wreath powers |
| title_short |
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_sort |
geometrical interpretation of infinite wreath powers |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/153333 |
| 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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT mikaelianvh ageometricalinterpretationofinfinitewreathpowers AT mikaelianvh geometricalinterpretationofinfinitewreathpowers |
| first_indexed |
2023-05-20T17:39:06Z |
| last_indexed |
2023-05-20T17:39:06Z |
| _version_ |
1796153768303132672 |