Dynamics of primitive elements under group actions
classification
🧮 math.GR
math.DS
keywords
elementsgirthgroupactionsnielsenprimitiveactingcertain
read the original abstract
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.
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