Thesis

### Branch groups and automata

Abstract:

The focus of this thesis is finitely generated subgroups of the automorphism group of an infinite spherically homogeneous rooted tree (regular or irregular). The first chapter introduces the topic and outlines the main results. The second chapter provides definitions of the terminology used, and also some preliminary results. The third chapter introduces a group that appears to be a promising candidate for a finitely generated group of infinite upper rank with finite upper $p$-rank for all ...

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### Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Algebra
Oxford college:
New College
Role:
Author

#### Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
Publication date:
2008
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
Oxford University, UK
Language:
English
Keywords:
Subjects:
UUID:
uuid:b0be5468-cce9-421b-85be-c386d7c3808a
Local pid:
ora:2750
Deposit date:
2009-04-30