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A Short Survey and Open Questions on Compact Q-Groups

Department of Mathematics and Applied Mathematics, University of Cape Town, Private Bag X1, Rondebosch, Cape Town 7701, South Africa
Axioms 2019, 8(4), 128; https://doi.org/10.3390/axioms8040128
Received: 17 October 2019 / Revised: 5 November 2019 / Accepted: 8 November 2019 / Published: 13 November 2019
(This article belongs to the Collection Topological Groups)
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. View Full-Text
Keywords: local breadth; compact p-groups; Euler’s function; Haar measure local breadth; compact p-groups; Euler’s function; Haar measure
MDPI and ACS Style

Russo, F.G. A Short Survey and Open Questions on Compact Q-Groups. Axioms 2019, 8, 128.

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