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Large scale properties of groups; growth functions; Dehn functions; small cancellation properties; hyperbolicity and CAT(0); actions and representations; combinatorial group theory; presentations

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Examples of a group with infinitely many ends which are not represented as a free product of...

Let $F_1$ and $F_2$-non-trivial groups. Is it correct that the number of ends of the free product $F_1\ast F_2$ is infinite? My thoughts about this: Since $e(G)=\infty$ then $G=F_1\ast F_2$, a non-t …
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Question about coarse fixed point property in large-scale geometry

I read the article of Steven Hair "A degree-theoretic proof of a coarse fixed point principle". I have the following question. I start with some main definitions from this article. A coarse map $X \t …
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Example of CAT($k$) space [closed]

Good time of day. I repeat the question from MSE (https://math.stackexchange.com/questions/4464888/question-about-example-of-catk-space) because no response has been received.Question is the following …
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