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Moufang sets and structurable division algebras

Author: Lien Boelaert; Tom de Medts; Anastasia Stavrova
Publisher: Providence, RI, USA : American Mathematical Society, [2019] ©2019
Series: Memoirs of the American Mathematical Society, no. 1245.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal subgroups are called the root groups, and they are assumed to be conjugate and to generate the whole group. It has been known for some time that every Jordan division algebra gives rise to a Moufang set with abelian root  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Lien Boelaert; Tom de Medts; Anastasia Stavrova
ISBN: 9781470435547 1470435543
OCLC Number: 1090177106
Notes: "May 2019, volume 259, number 1245 (second of 8 numbers)."
Description: v, 90 pages : illustrations ; 26 cm.
Contents: Introduction --
Chapter 1. Moufang sets --
Chapter 2. Structurable algebras --
Chapter 3. One-invertibility for structurable algebras --
Chapter 4. Simple structurable algebras and simple algebraic groups --
Chapter 5. Moufang sets and structurable division algebras --
Chapter 6. Examples --
Bibliography.
Series Title: Memoirs of the American Mathematical Society, no. 1245.
Responsibility: Lien Boelaert, Tom De Medts, Anastasia Stavrova.

Abstract:

A Moufang set is essentially a doubly transitive permutation group such that each point stabilizer contains a normal subgroup which is regular on the remaining vertices; these regular normal  Read more...

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