I am a PhD student in algebraic topology, and I would like to learn something about **group cohomology**.


The final goal would be to present one or two seminars on this topic, in order to give my mates a gently introduction to this subject and at the same time showing them some striking result/application of this theory. Ideally, my plan for the seminar is:


1. Introduce group cohomology, with a lot of motivations and examples
2. Explain what makes group cohomology awesome
3. Focus on a specific result, and showing some pretty applications of it (something that could be interesting to an algebraic topologist if possible) in order to strenghthen point 2


I am not looking for books, which are already given in these questions:


<https://math.stackexchange.com/questions/2697778/reference-for-group-cohomology>


<https://math.stackexchange.com/questions/695613/reference-request-introduction-to-finite-group-cohomology?rq=1>


So my questions are:


1. Does anyone know any **introductory papers/lecture notes** where I can find a **concise introduction** to group cohomology? I am looking for something which do not contains all the details but which gives me a general view of the main results and applications of the theory. Youtube videos/lecture series are also very welcome. Of course if you want to mention book that are not in the previous answers it is fine aswell.
2. Are there any suggestions about results/applications that I can put in points 2 and 3 of the seminar? As I said before the idea is to present this material to other students of algebraic topology, so I would prefer theorems/applications that will appeal to this kind of audience.


**EDIT:** an answer of this kind [References and resources for (learning) chromatic homotopy theory and related areas](https://mathoverflow.net/questions/323889/references-and-resources-for-learning-chromatic-homotopy-theory-and-related-ar) is also very welcome and pertinent!
Thank you in advance,
Tommaso



A road map through group cohomology
Brown: *Lectures on the cohomology of groups*.


Adem: *Lectures on the cohomology of finite groups.*


Carlson: *The cohomology of groups* (from Handbook of Algebra, Vol.1, 1996).


Rotman: *Homology of groups* (chapter 9 from one of his algebra books that I forget the name).


