[Math] Group theory book: presentations and group actions

book-recommendationgroup-actionsgroup-presentationgroup-theory

I have some basic abstract algebra knowledge (the usual groups/rings/fields).

Now I would like to study, in depth, presentations of groups and group actions. (either of which I have no knowledge)

Could someone please recommend to me books for this purpose?

(I am aware that I will most likely need two different sources (or more))

I tried to search Amazon for books on group theory but I couldn't really find a good match. There is Joseph Rotman's book on group theory and while it seems to have a bit of both, according to the reviews it is full of typos and it also contains a load of other topics.

Best Answer

It seems to me that you would like to have a book which combines aspects of geometric group theory and algebraic group theory. Here I would recommend the book Introduction to Group Theory by Oleg Bogopolski.