Axel Hultman
Published 2007-03-16Version 1
A zircon is a poset in which every principal order ideal is finite and equipped with a so-called special matching. We prove that the subposet induced by the fixed points of any automorphism of a zircon is itself a zircon. This provides a natural context in which to view recent results on Bruhat orders on twisted involutions in Coxeter groups.
A study on the fixed points of the $γ$ function
Fixed points of powers of permutations
Conditional Probability of Derangements and Fixed Points
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