, Volume 82, Issue 1-3, pp 405-427

Braid group action via GL n (q) and U n (q), and Galois realizations

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Abstract

We determine the braid group action on generating systems of a group that is the semi-direct product of a finite vector space with a group of scalars. This leads to Galois realizations of certain groups GL n (q) and PU n (q).

Dedicated to Prof. J. G. Thompson
Partially supported by an NSA grant.
This work was done while the author was a fellow of the Institute for Advanced Studies in Jerusalem.