Generalizes Magnus's Freiheitssatz to one-relator quotients of partially commutative groups, showing Magnus subgroup embeddings, root order preservation, and word problem decidability under conditions on the relator.
Baudisch, Kommutationsgleichungen in semifrien Gruppen , Acta Math
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One-relator quotients of Partially Commutative Groups
Generalizes Magnus's Freiheitssatz to one-relator quotients of partially commutative groups, showing Magnus subgroup embeddings, root order preservation, and word problem decidability under conditions on the relator.