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Topics in Infinite Group Theory - Nielsen Methods, Covering Spaces, and Hyperbolic Groups (Paperback)
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Topics in Infinite Group Theory - Nielsen Methods, Covering Spaces, and Hyperbolic Groups (Paperback)
Series: De Gruyter STEM
Expected to ship within 10 - 15 working days
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This book gives an advanced overview of several topics in infinite
group theory. It can also be considered as a rigorous introduction
to combinatorial and geometric group theory. The philosophy of the
book is to describe the interaction between these two important
parts of infinite group theory. In this line of thought, several
theorems are proved multiple times with different methods either
purely combinatorial or purely geometric while others are shown by
a combination of arguments from both perspectives. The first part
of the book deals with Nielsen methods and introduces the reader to
results and examples that are helpful to understand the following
parts. The second part focuses on covering spaces and fundamental
groups, including covering space proofs of group theoretic results.
The third part deals with the theory of hyperbolic groups. The
subjects are illustrated and described by prominent examples and an
outlook on solved and unsolved problems.
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