دانلود کتاب Free and linear representations of outer automorphism groups of free groups

فهرست مطالب :

Introduction
Aims and results
Asymptotics
Structure of the thesis
Notation and conventions
Some classical representation theory
Linear representations of symmetric groups
Schur functors and general linear groups
Representations of GLn(Zq)
Linear representations of Out(Fn)
Representations of Wn and diagrams
The case of Out(F3)
The general case
Representations not factoring through n
Bridson–Vogtmann construction
A new construction
Free representations of Out(Fn)
Graphs realising finite subgroups of Out(Fn)
The case of Out(F3)
Alternating groups and graphs
The general case
Positive results
Finite index subgroups of Out(Fn)
Rank of abelianisations of finite index normal subgroups
Minimal quotients of Out(Fn)
Lower central series of the Torelli subgroup
Bibliography