Standard Generators for Classical Groups

This Bachelor thesis investigates standard generators for finite classical groups, particularly focusing on black-box representations in computational group theory. It presents criteria for recognizing and constructing standard generators and studies their existence and structure in key families such as \(\mathrm{SL}(n,q)\) and \(\mathrm{Sp}(2n,q)\). The results support algorithmic identification and handling of classical groups in the black-box setting and connect theoretical properties with computational feasibility.

Recommended citation: Emma Ahrens: "Standard Generators for Classical Groups." Bachelor Thesis, RWTH Aachen University, September 28, 2020.
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