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math.GR2010★ 8 cited
Monoids of injective maps closed under conjugation by permutations
Zachary Mesyan
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 cl…
math.GR2010★ 4 cited
Conjugation of injections by permutations
Zachary Mesyan
Let X be a countably infinite set, and let f, g, and h be any three injective self-maps of X, each having at least one infinite cycle. (For instance, this holds if f, g, and h are…