Third Homology of some Sporadic Finite Groups
We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2019 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2019
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/210236 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Third Homology of some Sporadic Finite Groups / T. Johnson-Freyd, D. Treumann // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. |
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Johnson-Freyd, T. Treumann, D. 2025-12-04T13:06:41Z 2019 Third Homology of some Sporadic Finite Groups / T. Johnson-Freyd, D. Treumann // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 20D08; 20J06 arXiv: 1810.00463 https://nasplib.isofts.kiev.ua/handle/123456789/210236 https://doi.org/10.3842/SIGMA.2019.059 We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions. This project began when John Duncan asked us to compute H⁴(O'N; Z). The referees provided detailed and valuable corrections. We also thank Graham Ellis, Jesper Grodal, Geoff Mason, and Robert Wilson for numerous comments and hints about finite groups and cohomology. This work was supported by the US NSF grant DMS-1510444 and by the Government of Canada through the Department of Innovation, Science and Economic Development Canada, and by the Province of Ontario through the Ministry of Research, Innovation and Science. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Third Homology of some Sporadic Finite Groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Third Homology of some Sporadic Finite Groups |
| spellingShingle |
Third Homology of some Sporadic Finite Groups Johnson-Freyd, T. Treumann, D. |
| title_short |
Third Homology of some Sporadic Finite Groups |
| title_full |
Third Homology of some Sporadic Finite Groups |
| title_fullStr |
Third Homology of some Sporadic Finite Groups |
| title_full_unstemmed |
Third Homology of some Sporadic Finite Groups |
| title_sort |
third homology of some sporadic finite groups |
| author |
Johnson-Freyd, T. Treumann, D. |
| author_facet |
Johnson-Freyd, T. Treumann, D. |
| publishDate |
2019 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/210236 |
| citation_txt |
Third Homology of some Sporadic Finite Groups / T. Johnson-Freyd, D. Treumann // Symmetry, Integrability and Geometry: Methods and Applications. — 2019. — Т. 15. — Бібліогр.: 44 назв. — англ. |
| work_keys_str_mv |
AT johnsonfreydt thirdhomologyofsomesporadicfinitegroups AT treumannd thirdhomologyofsomesporadicfinitegroups |
| first_indexed |
2025-12-07T21:24:51Z |
| last_indexed |
2025-12-07T21:24:51Z |
| _version_ |
1850886262381084672 |