Generators for the Pure Symmetric Outer Automorphisms of a Free Product

Published 22 Jul 2025 in math.GR | (2507.16662v1)

Abstract: We construct a `nice' subcomplex of the Outer Space for a free product in order to give a geometric proof that the pure symmetric outer automorphisms of a given splitting of a free product are generated by factor outer automorphisms and Whitehead outer automorphisms relative to the splittting.

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Harry Iveson

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