Automorphisms of distributive lattices via sage

lattice_poset

asked 2020-06-15 21:38:04 +0200

klaaa
671 ●3 ●14 ●38

Let L be a finite distributive lattice. Is it possible to calculate the automorphism group G of L via SAGE? Can one display all the elements of G and their orders?

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answered 2020-06-16 11:34:38 +0200

FrédéricC

5125 ●3 ●43 ●111

Like this

sage: P = posets.PentagonPoset()
sage: P.hasse_diagram().automorphism_group()
Permutation Group with generators [()]
sage: P = posets.DiamondPoset(6)
sage: P.hasse_diagram().automorphism_group()
Permutation Group with generators [(3,4), (2,3), (1,2)]

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Asked: 2020-06-15 21:38:04 +0200

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Last updated: Jun 16 '20

Automorphisms of distributive lattices via sage edit

1 Answer