For 10 points, name this Austrian algebraist.
Brauer's theorem on induced characters implies that a set of functions named for this mathematician are meromorphic in the entire complex plane. This mathematician is the alphabetically first namesake of a theorem which when combined with Maschke's theorem yields that the group ring CG is isomorphic to a finite direct product of matrices over the complex numbers. A set of functions named for this mathematician is a Dirichlet series associated with linear representations of Galois groups. This mathematician gave the first explicit group presentation of (*) braid groups. This man is the alphabetically first namesake of a theorem which states that a semisimple structure named for him is isomorphic to a direct product of full matrix rings over division rings. That theorem is co-named for Wedderburn.  Those structures named for him satisfy the descending chain condition on ideals, unlike Noetherian rings which satisfy the ascending chain condition. For 10 points, name this Austrian algebraist.
Brauer's theorem on induced characters implies that a set of functions named for this mathematician are meromorphic in the entire complex plane.
Emil Artin [the functions are the Artin L-functions, and the doubly-eponymous theorem is Artin-Wedderburn]