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Title: Constructive membership testing in classical groups
Author: Costi, Elliot Mark
ISNI:       0000 0004 2686 8617
Awarding Body: Queen Mary University of London
Current Institution: Queen Mary, University of London
Date of Award: 2009
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Let G be a perfect classical group defined over a finite field F and generated by a set of standard generators X. Let E be the image of an absolutely irreducible representation of G by matrices over a field of the natural characteristic. Given the image of X in E, we present algorithms that write an arbitrary element of E as a straight-line programme in this image of X in E. The algorithms run in polynomial time.
Supervisor: Not available Sponsor: QMUL
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: Mathematical Sciences ; Classical Groups ; Computational Group Theory ; Matrix Recognition Project