Hypergroups

Hypergroups

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Product Description

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.

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SourceFeedType Shopping
CustomLabel1 EN
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CustomLabel0 Paul-Hermann Zieschang
Gtin 9783031394898
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  • Books > Mathematics and Statistics
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Condition New
Adult No
Material eBook
SalePriceEffectiveDateEnd 2026-09-01T22:59:59.999Z
CustomLabel2 Springer
SalePriceEffectiveDateStart 2026-06-02T23:00:00Z
ItemListName EN

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