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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

13 votes

Free splittings of one-relator groups

I just came across the following, which is Prop. II.5.13 of Lyndon-Schupp. Proposition. Let $G = \langle x_1, \ldots , x_n: r\rangle$ where $r$ is of minimal length under $Aut(\langle x_1, \ldots , …
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