Pratyush Mishra
Published 2024-03-25, updated 2024-06-13Version 2
We investigate group actions in which certain primitive elements fix a point, while not all group elements possess this property when acting upon some space. Using similar dynamical tools, we introduce the notion of Nielsen girth and prove the existence of groups with infinite girth but having finite Nielsen girth.
Comments: Added section 9 and a few minor corrections have been made
Structure and regularity of group actions on one-manifolds
Spectral rigidity of group actions on homogeneous spaces
Convergence and collapsing of CAT$(0)$-group actions
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