|
Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
|
Not currently available
Topics in Groups and Geometry - Growth, Amenability, and Random Walks (Paperback, 1st ed. 2021)
Loot Price: R2,649
Discovery Miles 26 490
|
|
|
Topics in Groups and Geometry - Growth, Amenability, and Random Walks (Paperback, 1st ed. 2021)
Series: Springer Monographs in Mathematics
Supplier out of stock. If you add this item to your wish list we will let you know when it becomes available.
|
This book provides a detailed exposition of a wide range of topics
in geometric group theory, inspired by Gromov's pivotal work in the
1980s. It includes classical theorems on nilpotent groups and
solvable groups, a fundamental study of the growth of groups, a
detailed look at asymptotic cones, and a discussion of related
subjects including filters and ultrafilters, dimension theory,
hyperbolic geometry, amenability, the Burnside problem, and random
walks on groups. The results are unified under the common theme of
Gromov's theorem, namely that finitely generated groups of
polynomial growth are virtually nilpotent. This beautiful result
gave birth to a fascinating new area of research which is still
active today.The purpose of the book is to collect these naturally
related results together in one place, most of which are scattered
throughout the literature, some of them appearing here in book form
for the first time. In this way, the connections between these
topics are revealed, providing a pleasant introduction to geometric
group theory based on ideas surrounding Gromov's theorem. The book
will be of interest to mature undergraduate and graduate students
in mathematics who are familiar with basic group theory and
topology, and who wish to learn more about geometric, analytic, and
probabilistic aspects of infinite groups.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
