Monoids of injective maps closed under conjugation by permutations

Abstract

Let X be a countably infinite set, Inj(X) the monoid of all injective endomaps of X, and Sym(X) the group of all permutations of X. We classify all submonoids of Inj(X) that are closed under conjugation by elements of Sym(X).

arXiv comment15 pages

References in corpus (1)

• Conjugation of injections by permutations

Cited by in corpus (3)

• Conjugation of injections by permutations
• Automatic continuity, unique Polish topologies, and Zariski topologies on monoids and clones
• Topological embeddings into transformation monoids