"Group cohomology"의 두 판 사이의 차이
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imported>Pythagoras0 |
imported>Pythagoras0 |
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| − | For a finite group G and its module M, | + | ==introduction== |
| − | + | * For a finite group G and its module M, $H^{0}(G,M)$ is isomorphic to $M/N(M)$ where $N(m) = \sum_{\sigma\in G}\sigma m$ | |
| − | H^{0}(G,M) is isomorphic to M/ | ||
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Alejandro Adem, <em>Recent developments in the cohomology of finite groups</em>, Notices Amer. Math. Soc. '''44''' (1997), no. 7, 806–812 http://www.ams.org/notices/199707/adem.pdf | Alejandro Adem, <em>Recent developments in the cohomology of finite groups</em>, Notices Amer. Math. Soc. '''44''' (1997), no. 7, 806–812 http://www.ams.org/notices/199707/adem.pdf | ||
[[분류:개인노트]] | [[분류:개인노트]] | ||
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[[분류:math and physics]] | [[분류:math and physics]] | ||
2013년 1월 9일 (수) 05:33 판
introduction
- For a finite group G and its module M, $H^{0}(G,M)$ is isomorphic to $M/N(M)$ where $N(m) = \sum_{\sigma\in G}\sigma m$
Alejandro Adem, Recent developments in the cohomology of finite groups, Notices Amer. Math. Soc. 44 (1997), no. 7, 806–812 http://www.ams.org/notices/199707/adem.pdf