2 citations · 3 across the 7 of their papers we have counts for
4 papers · 1 filter
Thin groups of fractions
Patrick Dehornoy
A number of properties of spherical Artin groups extend to Garside groups, defined as the groups of fractions of monoids where least common multiples exist, there is no nontrivial…
Complete positive group presentations
Patrick Dehornoy
A combinatorial property of prositive group presentations, called completeness, is introduced, with an effective criterion for recognizing complete presentations, and an iterative…
Homology of Gaussian groups
Patrick Dehornoy, Yves Lafont
We describe new combinatorial methods for constructing an explicit free resolution of Z by ZG-modules when G is a group of fractions of a monoid where enough least common multiples…
Study of an identity
Patrick Dehornoy
We solve the word problem of the identity by investigating a certain group describing the geometry of that identity. We also construct a concrete realization of…