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On the Nielsen-Schreier Theorem in Homotopy Type Theory

Andrew W Swan.
We give a formulation of the Nielsen-Schreier theorem (subgroups of free groups are free) in homotopy type theory using the presentation of groups as pointed connected 1-truncated types. We show the special case of finite index subgroups holds constructively and the full theorem follows from the&nbsp;[&hellip;]
Published on January 20, 2022

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