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Title: On certain subgroups of E8(2) and their Brauer character tables
Author: Neuhaus, Peter
ISNI:       0000 0004 7657 318X
Awarding Body: University of Manchester
Current Institution: University of Manchester
Date of Award: 2018
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For the exceptional group of Lie type E8(2) a maximal subgroup is either one of a known set or it is almost simple. In this thesis we compile a complete list of almost simple groups that may have a maximal embedding in E8(2) and in many cases it is proved that such an embedding does not exist. For the groups L2(32) and L2(128) we go further and find all conjugacy classes of their embeddings in E8(2). Extensive use is made of the theory of Brauer characters and modular representation theory, and as such include Brauer character tables in characteristic 2 for many small rank simple groups. The work in this thesis relies heavily on the computer package Magma and includes a collection of useful procedures for computational group theory. The results presented are the author's contribution to the ongoing attempt to classify the maximal subgroups of E8(2).
Supervisor: Rowley, Peter Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Computational Group Theory