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Uniqueness of the group operation on the lattice of order-automorphisms of the real line

โœ Scribed by M. R. Darnel; M. Giraudet; S. H. McCleary

Publisher
Springer
Year
1995
Tongue
English
Weight
534 KB
Volume
33
Category
Article
ISSN
0002-5240

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๐Ÿ“œ SIMILAR VOLUMES

The lattice automorphisms of the dominan
The lattice automorphisms of the dominance ordering
โœ Rodica Simion ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 180 KB

In this paper it is shown that the lattice/\_~ of partitions of n under the dominance ordering is totally asymmetric, except for the cases n = 6 and 7 where the automorphism group is Z2XZ 2. As a consequence, partition conjugation is the only antiautomorphism of/\_~ if n ~ 6, 7. L 6 and L 7 the aut