Spectral gap of scl in free products

2016/11/23 by Chen, Lvzhou · 1 citation
#FOS: Mathematics #Geometric Topology (math.GT) #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1611.07936

Abstract

Let G=*_λG_λ be a free product of torsion-free groups, and let g∈[G,G] be any element not conjugate into a G_λ. Then scl_G(g)≥1/2. This generalizes, and gives a new proof of a theorem of Duncan-Howie.

Cited by

• The Wiegold problem and free products of left-orderable groups

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