2020/02/18 by Gray, Robert D., Steinberg, Benjamin
#20J05 #20M05 #20M18 #20M50 #Algebraic Topology (math.AT) #FOS: Mathematics #Group Theory (math.GR) #Rings and Algebras (math.RA)
paper · doi:10.48550/arxiv.2002.07690
We give a topological proof that a free inverse monoid on one or more generators is neither of type left-FP2 nor right-FP2. This strengthens a classical result of Schein that such monoids are not finitely presented as monoids.