Primitive finite nilpotent linear groups over number fields

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• 作者：Tobias Rossmann ^{tobias.rossmann@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：20D15 ; 20H20
• 刊名：Journal of Algebra
• 出版年：2016
• 出版时间：1 April 2016
• 年：2016
• 卷：451
• 期：Complete
• 页码：248-267
• 全文大小：493 K

文摘

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.