Grushko's Theorem

Grushko's Theorem

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Sucharit Sarkar, Princeton University
Fine Hall 314

Grushko's Theorem states that $rank(G*H)=rank(G)+rank(H)$, where $rank$ is the minimum number of generators for a group, and $*$ denotes the free product. We will present Stallings' (topological) proof of Grushko's Theorem.