I am looking for a modern and thorough exposition for presentations of groups

Question

Conider the following abstract description for the Quaternion group:

$$\langle x,y\mid x^{4}=1,x^{2}=y^{2},y^{-1}xy=x^{-1}\rangle$$

This description is called a presentation of the Quaternion group via generators and relations.

I am looking for a modern and thorough exposition for presentations of groups because I think it is a fascinating area about which I would like to know more. Are there any books or comprehensive online sources that you could recommend?

Thank you for your ideas!

Answer 1

The answer occurs in the comments above. I summarize

• "Combinatorial Group Theory: Presentations of Groups in Terms of Generators and Relations" by W. Magnus and others, 444 pages, ISBN 0486438309, 2004-reprint of 1976-edition
• "Presentations of Groups, 2ed" by D.L. Johnson, 232 pages, ISBN 0521585422, 2008-reprint of 1997-edition
• "Topics in the theory of group presentations" by D. L. Johnson, 311 pages, ISBN 9780521231084, 2008-reprint of 1980-edition