Standard homomorphisms of Artin monoids and compositions thereof solve the twin homomorphism problem for Coxeter groups, with expected injectivity under optimality conditions, a classification of disjoint cases, and a conjecture for rank-two domains.
Godelle,Morphismes injectifs entre groupes d’Artin-Tits, Algebr
2 Pith papers cite this work, alongside 4 external citations. Polarity classification is still indexing.
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Infinite cyclic subgroups of the Belk–Hyde–Matucci group VA are undistorted, so VA cannot contain groups with distorted cyclics.
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Hecke monoids, their homomorphisms and parabolicity
Infinite cyclic subgroups of the Belk–Hyde–Matucci group VA are undistorted, so VA cannot contain groups with distorted cyclics.