Abstract
We study the relations of Hartmann and unitary uniform distribution in solvable groups, in particular in semidirect products of Abelian groups. In every nilpotent group these notions of uniform distribution coincide, but, in general, they are different in solvable groups, as is demonstrated by the motion group of the plane. However, we show that Hartmann and unitary uniform distribution coincide in every solvable analytic group whose Lie algebra has no purely imaginary roots. Finally, we give two six-dimensional solvable analytic groups with the same set of roots, such that the concepts of uniform distribution coincide in one group and differ in the other.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
