A method of finding automorphism groups of endomorphism monoids of relational systems
For any set X and any relation \rho on X, let T(X,\rho) be the semigroup of all maps a : X → X that preserve \rho. Let S(X) be the symmetric group on X. If \rho is reflexive, the group of automorphisms of T (X, \rho) is isomorphic to N_{S(X)}(T (X, \rho)), the normalizer of T (X, \rho) in S(X), that...
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| Format: | article |
| Language: | eng |
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2011
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| Online Access: | http://hdl.handle.net/10400.2/1991 |
| Country: | Portugal |
| Oai: | oai:repositorioaberto.uab.pt:10400.2/1991 |