Spectral gap of scl in free products
classification
🧮 math.GT
math.GR
keywords
lambdafreeconjugateduncan-howieelementgeneralizesgivesgroups
read the original abstract
Let $G=*_\lambda G_\lambda$ be a free product of torsion-free groups, and let $g\in[G,G]$ be any element not conjugate into a $G_\lambda$. Then scl$_G(g)\ge1/2$. This generalizes, and gives a new proof of a theorem of Duncan-Howie.
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