ENGLISH

Almgren's big regularity paper : Q-valued functions minimizing Dirichlet's integral and the regularity of area-minimizing rectifiable currents up to codimension 2

By Frederick J. , Jr Almgren , Vladimir Scheffer , Jean E.

Book information

Publisher
World Scientific
Year
2000
ISBN
9810241089, 9789810241087
Language
english
Format
PDF
Filesize
31 MB (32250221 bytes)
Series
World scientific monograph series in mathematics, v. 1
Pages
970\970
Time added
2012-12-29 17:00:00

Description

The Steinberg relations are the commutator relations which hold between elementary matrices in a special linear group. This text generalizes these sorts of relations. To encode these relations one needs a ring and a so-called linkage graph which specifies exactly which commutator relations hold. The groups obtained here, called linkage groups, have an enormous number of interesting images, finite and infinite. Among these images are, for example, 25 of the 26 finite sporadic simple groups. The book deals with the structure and classification of linkage groups. Part of the work involves theoretical group combinatorics and the other part involves computer calculations to study the linkage structure of various interesting groups. The book will be of value to researchers and graduate students in combinatorial and computational group theory

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