The symmetries of McCullough-Miller space
We prove that if W is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to W is isomorphic to group of outer automorphisms of W. We also prove that, for each integer n ≥ 3, the automorphism group of the hypertree complex of...
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| Дата: | 2012 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2012
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/152242 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The symmetries of McCullough-Miller space / A. Piggott // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 239–266. — Бібліогр.: 7 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-152242 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1522422019-06-10T01:26:06Z The symmetries of McCullough-Miller space Piggott, A. We prove that if W is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to W is isomorphic to group of outer automorphisms of W. We also prove that, for each integer n ≥ 3, the automorphism group of the hypertree complex of rank n is isomorphic to the symmetric group of rank n. 2012 Article The symmetries of McCullough-Miller space / A. Piggott // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 239–266. — Бібліогр.: 7 назв. — англ. 1726-3255 2010 MSC:20E36; 05E18. http://dspace.nbuv.gov.ua/handle/123456789/152242 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We prove that if W is the free product of at least four groups of order 2, then the automorphism group of the McCullough-Miller space corresponding to W is isomorphic to group of outer automorphisms of W. We also prove that, for each integer n ≥ 3, the automorphism group of the hypertree complex of rank n is isomorphic to the symmetric group of rank n. |
| format |
Article |
| author |
Piggott, A. |
| spellingShingle |
Piggott, A. The symmetries of McCullough-Miller space Algebra and Discrete Mathematics |
| author_facet |
Piggott, A. |
| author_sort |
Piggott, A. |
| title |
The symmetries of McCullough-Miller space |
| title_short |
The symmetries of McCullough-Miller space |
| title_full |
The symmetries of McCullough-Miller space |
| title_fullStr |
The symmetries of McCullough-Miller space |
| title_full_unstemmed |
The symmetries of McCullough-Miller space |
| title_sort |
symmetries of mccullough-miller space |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152242 |
| citation_txt |
The symmetries of McCullough-Miller space / A. Piggott // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 239–266. — Бібліогр.: 7 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT piggotta thesymmetriesofmcculloughmillerspace AT piggotta symmetriesofmcculloughmillerspace |
| first_indexed |
2023-05-20T17:37:50Z |
| last_indexed |
2023-05-20T17:37:50Z |
| _version_ |
1796153729903230976 |