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Classifying finite linear groups in prime degree

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GRAW02 - Computational and algorithmic methods

We describe the complete, computational solution of an enduring problem in linear group theory. Specifically, we describe the classification of the finite irreducible monomial groups of prime degree (over the complex numbers). An exhaustive and self-contained solution of this problem has been obtained for all such solvable groups, and for all such groups of reasonably small degree (say, at most 23). We note obstacles that prevent a full solution of the problem for non-solvable groups in arbitrary prime degree.

This is joint work with Zolt\'an B\'acskai and Eamonn O'Brien.

This talk is part of the Isaac Newton Institute Seminar Series series.

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