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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2012 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2012
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/152242 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | The symmetries of McCullough-Miller space / A. Piggott // Algebra and Discrete Mathematics. — 2012. — Vol. 14, № 2. — С. 239–266. — Бібліогр.: 7 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862664228393975808 |
|---|---|
| author | Piggott, A. |
| author_facet | Piggott, A. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-07T15:12:56Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-152242 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T15:12:56Z |
| publishDate | 2012 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Piggott, A. 2019-06-09T06:10:02Z 2019-06-09T06:10:02Z 2012 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. https://nasplib.isofts.kiev.ua/handle/123456789/152242 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. Thanks to Murray Elder, and the University of Newcastle, Australia, for their hospitality as this paper was written. Thanks to Andy Eisenberg, and the anonymous referee, for carefully reading the paper, and suggesting improvements. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics The symmetries of McCullough-Miller space Article published earlier |
| spellingShingle | The symmetries of McCullough-Miller space Piggott, A. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152242 |
| work_keys_str_mv | AT piggotta thesymmetriesofmcculloughmillerspace AT piggotta symmetriesofmcculloughmillerspace |