BOUNDED CONJUGACY CLASSES AND CONJUGACY CLASSES SUPPORTING INVARIANT MEASURES AND AUTOMORPHISMS Article Swipe
Related Concepts
Mathematics
Conjugacy class
Automorphism
Bounded function
Invariant (physics)
Pure mathematics
Mathematical analysis
Mathematical physics
C. R. E. Raja
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YOU?
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· 2025
· Open Access
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· DOI: https://doi.org/10.1017/s0004972724001266
· OA: W4407230441
YOU?
·
· 2025
· Open Access
·
· DOI: https://doi.org/10.1017/s0004972724001266
· OA: W4407230441
We consider conjugacy classes in a locally compact group G that support finite G -invariant measures. If G is a property (M) extension of an abelian group, in particular, if G is a metabelian group, then any such conjugacy class is relatively compact. As an application, centralisers of lattices in such groups have bounded conjugacy classes. We use the same techniques to obtain results in the case of totally disconnected, locally compact groups.
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