Monoids of injective maps closed under conjugation by permutations

Details Monoids of injective maps closed under conjugation by permutations Monoids of injective maps closed under conjugation by permutations

2010-08-09

arxiv.org/abs/1008.1443v1

Mathematics

Group Theory

15 pages

Scientific paper

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).

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