Abstract
Finite Q -groups have been recently studied and form a class of solvable groups, which satisfy interesting structural conditions. We survey some of their main properties and introduce the idea of Q -group for compact p-groups (p prime). A list of open questions is presented, along with several connections of arithmetic nature on a problem originally due to Frobenius.
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis
Reference35 articles.
1. Vorlesungen über das Ikosaeder und die Auflösung der Gleichungen vom fünften Grade;Klein,1884
2. Verallgemeinerung des Sylowschen Satzen;Frobenius;Berliner Sitz.,1895
3. Über einen Fundamentalsatz der Gruppentheorie;Frobenius;Berliner Sitz.,1903
4. On a conjecture of Frobenius
5. A conjecture of frobenius and the sporadic simple groups