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Comultiplication on monoids.

Arkowitz, Martin; Gutierrez, Mauricio — 1997

International Journal of Mathematics and Mathematical Sciences

Automorphisms of right-angled Coxeter groups.

Gutierrez, Mauricio; Kaul, Anton — 2008

International Journal of Mathematics and Mathematical Sciences

Three Conjectures of Combinatorial Topology.

Mauricio Gutierrez — 1982

Inventiones mathematicae

Equalizers and coactions of groups

Martin Arkowitz; Mauricio Gutierrez — 2002

Fundamenta Mathematicae

If f:G → H is a group homomorphism and p,q are the projections from the free product G*H onto its factors G and H respectively, let the group $_{f} \subseteq G * H$ be the equalizer of fp and q:G*H → H. Then p restricts to an epimorphism $p_{f} {= p |}_{f} :_{f} \to G$ . A right inverse (section) $G \to_{f}$ of $p_{f}$ is called a coaction on G. In this paper we study $_{f}$ and the sections of $p_{f}$ . We consider the following topics: the structure of $_{f}$ as a free product, the restrictions on G resulting from the existence of a coaction, maps of coactions and the resulting...

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