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Questions about the branch of algebra that deals with groups.
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Geometrisation of inclusion-like epimorphisms to free groups
Let $H_g$ be the standard $3$-dimensional handle-body, whose boundary is denoted $S_g$, the oriented closed surface of genus $g\geq 1$.
Call $F_g$ be the free group of rank $g$.
Denote by $i:S_g \to …