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math.GR2001
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…
math.GR2001
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…
math.GR2001
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…