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 \(n \geq 3\), the automorphism group of the hy...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-7242018-04-04T10:03:23Z The symmetries of McCullough-Miller space Piggott, Adam Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees 20E36; 05E18 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 \(n \geq 3\), the automorphism group of the hypertree complex of rank \(n\) is isomorphic to the symmetric group of rank \(n\). Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724 Algebra and Discrete Mathematics; Vol 14, No 2 (2012) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724/256 Copyright (c) 2018 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees 20E36; 05E18 |
| spellingShingle |
Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees 20E36; 05E18 Piggott, Adam The symmetries of McCullough-Miller space |
| topic_facet |
Autmorphisms of groups; group actions on simplicial complexes; Coxeter groups; McCullough-Miller space; hypertrees 20E36; 05E18 |
| format |
Article |
| author |
Piggott, Adam |
| author_facet |
Piggott, Adam |
| author_sort |
Piggott, Adam |
| 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 |
| 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 \(n \geq 3\), the automorphism group of the hypertree complex of rank \(n\) is isomorphic to the symmetric group of rank \(n\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724 |
| work_keys_str_mv |
AT piggottadam thesymmetriesofmcculloughmillerspace AT piggottadam symmetriesofmcculloughmillerspace |
| first_indexed |
2024-04-12T06:26:52Z |
| last_indexed |
2024-04-12T06:26:52Z |
| _version_ |
1796109198689304576 |