Tagged Questions
9
votes
2answers
281 views
Choosing an advanced group theory text: concerns
In this question, An Introduction to the Theory of Groups by Rotman is recommended twice as a good second-course group theory text. However, after reading the reviews here, and seeing this pdf of ...
3
votes
0answers
55 views
References about finite group theory
In your opinion which are the best books regarding the theory of finite groups? I think that a wonderful one is "Finite Group Theory - Michael Aschbacher".
Many thanks.
3
votes
0answers
65 views
A few questions about nonabelian cohomology of finite groups.
I apologize in advance if these questions are broad or basic. I tried to read about them at the Wikipedia, but everything is written in the language of category theory, in which I have had no formal ...
3
votes
2answers
197 views
Why are only the first four alternating groups are non-simple?
I know asking for intuition in math is a generally flawed approach, but can anyone give any reason why only the first four alternating groups are non-simple?
4
votes
2answers
136 views
Looking for texts in representation theory
I recently finished a course in representation theory, and while I learned a lot from it, I know that there's a lot more in the subject that I missed. For the course we used Fulton and Harris as a ...
8
votes
2answers
251 views
Why isn't there interest in nontrivial, nondiscrete topologies on finite groups?
A topology on a group is required to be compatible with the group structure (multiplication must be a continuous map $G\times G\to G$ and inversion must be continuous). I've only ever seen the ...
12
votes
2answers
276 views
Is finite group theory still a fruitful area of research?
A while back I was learning about finite groups in an algebra class. I mentioned to a friend that finite group theory might be an interesting area of research to pursue. She asked something along the ...
4
votes
5answers
173 views
Are there methods to well order a finite group in a meaningful way?
Can some finite groups be well ordered in a "meaningful" way? I mean, it is clear that we can trivially find a bijection between $\{1,...,n\}$ and a finite group $G$ with $n$ elements, but I am ...
