In the mathematical field of group theory, the Kurosh subgroup theorem describes the algebraic structure of subgroups of free products of groups. The theorem was obtained by Alexander Kurosh, a Russian mathematician, in 1934. Informally, the theorem says that every subgroup of a free product is itself a free product of a free group and of its intersections with the conjugates of the factors of the original free product.
Read more about Kurosh Subgroup Theorem: History and Generalizations, Statement of The Theorem, Proof Using Bass–Serre Theory, Extension, See Also
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