Group cohomology

introduction

• For a finite group G and its module M, $H^{0}(G,M)$ is isomorphic to $M/N(M)$ where $N(m) = \sum_{\sigma\in G}\sigma m$

 

 

expositions

• Nakano, Daniel K. “Cohomology of Algebraic Groups, Finite Groups, and Lie Algebras: Interactions and Connections.” arXiv:1404.3342 [math], April 12, 2014. http://arxiv.org/abs/1404.3342.
• 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