Hi /sci/. I recently started learning about fundamental groups in algebraic topology. It worked fine for me until i needed some actual knowledge of group theory (normal subgroups, free groups, generators...) .
What do you recommend as a good reading for group theory?
>>8166961
armstrong is a decent introduction
for all the details you can go with robinson
>>8166961
You could honestly just pick up any Algebra book, and what you're looking for will all be in the first chapter or so. Hatcher also has a sufficient exposition on free groups in the section on the Van Kampen theorem.
>>8167121
thanks, I was looking for it because of Van Kampen theorem
>>8166961
Why would you try learning Algebraic Topology without first knowing Algebra?
>>8167128
well i did completed 2 courses of algebra but it was few years ago and I fucking hated it. Now, i must face it again
>>8166961
Pinter is cheap and easy
>>8167136
Since I guess you know the basics: kernels, relations, fundamental thm of abelian groups, inner product I recommend Robinson. Even If you are iffy on these subjects then I still recommend reading as far into as you can. It's review chapter on the basic material is so terse as to be enlightening.
If you actually can't find it I will provide a dl
>>8167653
he uses an exponential notation, which jives with the fact that most homomorphisms encountered in nature are conjugation
>>8167671
There was a push for that notation sometime in the 80s that has since died. Its more natural. Either way it doesnt matter. The book is still plenty readable.
>>8167151
>Pinter is cheap and easy
just like ur mum lol
>>8167653
God is right handed.
