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
Datum:2019
Hauptverfasser: Johnson-Freyd, T., Treumann, D.
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2019
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Johnson-Freyd, T.
Treumann, D.
author_facet Johnson-Freyd, T.
Treumann, D.
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.
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container_title Symmetry, Integrability and Geometry: Methods and Applications
description We compute the integral third homology of most of the sporadic finite simple groups and of their central extensions.
first_indexed 2025-12-07T21:24:51Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T21:24:51Z
publishDate 2019
publisher Інститут математики НАН України
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spelling 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
spellingShingle Third Homology of some Sporadic Finite Groups
Johnson-Freyd, T.
Treumann, D.
title 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_short Third Homology of some Sporadic Finite Groups
title_sort third homology of some sporadic finite groups
url https://nasplib.isofts.kiev.ua/handle/123456789/210236
work_keys_str_mv AT johnsonfreydt thirdhomologyofsomesporadicfinitegroups
AT treumannd thirdhomologyofsomesporadicfinitegroups