Article

Israel Journal of Mathematics

, Volume 82, Issue 1, pp 405-427

First online:

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

  • Helmut VölkleinAffiliated withDepartment of Mathematics, University of FloridaUniversität Erlangen

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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).