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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Lugansk National Taras Shevchenko University
2018
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| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543400314011648 |
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| author | Piggott, Adam |
| author_facet | Piggott, Adam |
| author_sort | Piggott, Adam |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-04T10:03:23Z |
| 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 \(n\). |
| first_indexed | 2025-12-02T15:43:15Z |
| format | Article |
| id | admjournalluguniveduua-article-724 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:43:15Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-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 |
| 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 |
| title | 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_short | The symmetries of McCullough-Miller space |
| title_sort | symmetries of mccullough-miller space |
| topic | Autmorphisms of groups group actions on simplicial complexes Coxeter groups McCullough-Miller space hypertrees 20E36 05E18 |
| topic_facet | Autmorphisms of groups group actions on simplicial complexes Coxeter groups McCullough-Miller space hypertrees 20E36 05E18 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/724 |
| work_keys_str_mv | AT piggottadam thesymmetriesofmcculloughmillerspace AT piggottadam symmetriesofmcculloughmillerspace |