This book provides a comprehensive algebraic treatment of
hypergroups, as defined by F. Marty in 1934. It starts with
structural results, which are developed along the lines of the
structure theory of groups. The focus then turns to a number of
concrete classes of hypergroups with small parameters, and
continues with a closer look at the role of involutions (modeled
after the definition of group-theoretic involutions) within the
theory of hypergroups. Hypergroups generated by involutions lead to
the exchange condition (a genuine generalization of the
group-theoretic exchange condition), and this condition defines the
so-called Coxeter hypergroups. Coxeter hypergroups can be treated
in a similar way to Coxeter groups. On the other hand, their
regular actions are mathematically equivalent to buildings (in the
sense of Jacques Tits). A similar equivalence is discussed for twin
buildings. The primary audience for the monograph will be
researchers working in Algebra and/or Algebraic Combinatorics, in
particular on association schemes.
General
| Imprint: |
Springer International Publishing AG
|
| Country of origin: |
Switzerland |
| Release date: |
September 2023 |
| First published: |
2023 |
| Authors: |
Paul-Hermann Zieschang
|
| Dimensions: |
235 x 155mm (L x W) |
| Edition: |
1st ed. 2023 |
| ISBN-13: |
978-3-03-139488-1 |
| Categories: |
Books
Promotions
|
| LSN: |
3-03-139488-7 |
| Barcode: |
9783031394881 |
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!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
(1)
