The automorphism group of the Fibonacci poset: A "not too difficult" problem of Stanley from 1988
Journal of Algebraic Combinatorics, Tome 19 (2004) no. 2, pp. 197-204.

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Summary: All of the automorphisms of the Fibonacci poset $Z( r)$ are determined ( $r \mathbb N$ mathbbN ). A problem of Richard P. Stanley from 1988 is thereby solved.
Classification : 06C05,, 06B99,, 06A11,, 05E25,, 05E10,, 08A35,, 20B25,, 20B27,, 20B30,, 06A30,, 06A20
Keywords: Fibonacci poset, Fibonacci lattice, differential poset, automorphism group, $(partially)$ ordered set
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     title = {The automorphism group of the {Fibonacci} poset: {A} "not too difficult" problem of {Stanley} from 1988},
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Farley, Jonathan David; Kim, Sungsoon. The automorphism group of the Fibonacci poset: A "not too difficult" problem of Stanley from 1988. Journal of Algebraic Combinatorics, Tome 19 (2004) no. 2, pp. 197-204. http://geodesic.mathdoc.fr/item/JAC_2004__19_2_a1/