Primitive finite nilpotent linear groups over number fields

2015/06/02 by Tobias Rossmann, Rossmann, Tobias
Mathematics · #20D15 #20H20 #FOS: Mathematics #Group Theory (math.GR) #math.GR #msc:20D15 #msc:20H20

paper · pdf · doi:10.48550/arxiv.1506.00811

20 pages

arxiv created 2015/06/02 · arxiv updated 2015/06/03

Abstract

Building upon the author's previous work on primitivity testing of finite nilpotent linear groups over fields of characteristic zero, we describe precisely those finite nilpotent groups which arise as primitive linear groups over a given number field. Our description is based on arithmetic conditions involving invariants of the field.

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