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...
Збережено в:
| Дата: | 2014 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2014
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/153333 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | 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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