Patrick Dehornoy
Encyclopedia
Patrick Dehornoy is a mathematician at the University of Caen who works on set theory and algebra. He found one of the first applications of large cardinals to algebra by constructing a certain left-invariant total order
, called the Dehornoy order
, on the braid group
.
Total order
In set theory, a total order, linear order, simple order, or ordering is a binary relation on some set X. The relation is transitive, antisymmetric, and total...
, called the Dehornoy order
Dehornoy order
in mathematics, the Dehornoy order is a left-invariant total order on the braid group, found by .Dehornoy's original discovery of the order on the braid group used huge cardinals, but there are now several more elementary constructions of it.-Definition:...
, on the braid group
Braid group
In mathematics, the braid group on n strands, denoted by Bn, is a group which has an intuitive geometrical representation, and in a sense generalizes the symmetric group Sn. Here, n is a natural number; if n > 1, then Bn is an infinite group...
.