Publication Date
2018
Publication Place
Cambridge, United Kingdom ; New York, NY -
Cambridge University Press, 2018.
Subject
Mathieu groups, Permutation groups, Finite groups
Type
Book
Language
Arabic
Digital
No
Manuscript
No
Pages Count
171
Physical Dimensions
24 cm
Library
The Institute for Advanced Study (IAS)
Record ID
3100001~!121290~!4999
Library Location
Math Stacks
Date
2018
Notes
Includes bibliographical references and index.. 121290. xi, 171 pages : illustrations ; 24 cm.
Sample Text
The Mathieu groups have many fascinating and unusual characteristics and have been studied at length since their discovery. This book provides a unique, geometric perspective on these groups. The amalgam method is explained and used to construct M24, enabling readers to learn the method through its application to a familiar example. The same method is then used to construct, among others, the octad graph, the Witt design and the Golay code. This book also provides a systematic account of 'small groups', and serves as a useful reference for the Mathieu groups. The material is presented in such a way that it guides the reader smoothly and intuitively through the process, leading to a deeper understanding of the topic.
İçindekiler
The Mathieu group M24 as we knew it -- The amalgam method -- L4(2) in two incarnations and L3(4) -- From L5(2) to the Mathieu amalgam -- M24 as universal completion -- Maximal subgroups -- The 45-representation of M24 -- The held group -- The inevitability of Mathieu groups -- Locally projective graphs and amalgams.
ISBN
9781108429788, 1108429785, 9781108556798 (PDF ebook)
Seri
Cambridge tracts in mathematics 214, Cambridge tracts in mathematics 214.
