Explicit positive cones for bi-orderings on almost-direct products of free groups are constructed via normal forms and Magnus orderings, with compatibility, convexity, and automorphism-invariance properties shown and applied to pure monomial braid groups and McCool groups.
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Positive cones and bi-orderings on almost-direct products of free groups
Explicit positive cones for bi-orderings on almost-direct products of free groups are constructed via normal forms and Magnus orderings, with compatibility, convexity, and automorphism-invariance properties shown and applied to pure monomial braid groups and McCool groups.