Algebra seminar

Jason Bell, Department of Pure Mathematics, University of Waterloo

“Gromov’s Theorem VIII: solvable linear groups”

This week we look at groups of matrices with the property that all of the eigenvalues of each element are roots of unity. Modifying an argument due to Burnside and Schur, we show that all such groups have the property that they have a normal solvable subgroup of finite index.