Abstract
AbstractWe consider lowâdimensional groups and groupâactions that are definable in a supersimple theory of finite rank. We show that any rank 1 unimodular group is (finiteâbyâAbelian)âbyâfinite, and that any 2âdimensional asymptotic group is solubleâbyâfinite. We obtain a fieldâinterpretation theorem for certain measurable groups, and give an analysis of minimal normal subgroups and socles in groups definable in a supersimple theory of finite rank where infinity is definable. We prove a primitivity theorem for measurable group actions. (© 2008 WILEYâVCH Verlag GmbH & Co. KGaA, Weinheim)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: 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.