Thesis

### Problems in Lie rings and groups

Abstract:

We construct a Lie relator which is not an identical Lie relator in the variety 𝔓4𝔓2. This is the first known example of a non-identical Lie relator.

Next we consider the existence of torsion in outer commutator groups. Let L be a free Lie ring. Suppose that 1 < ij2i and iki + j + 1. We prove that L/[Lj, Li, Lk

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Institution:
University of Oxford
Division:
MPLS
Role:
Author

#### Contributors

Institution:
University of Oxford
Division:
MPLS
Role:
Supervisor
Publication date:
2000
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Source identifiers:
603847039
Language:
English
Subjects:
UUID:
Local pid:
td:603847039
Deposit date:
2014-04-01