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math.GR2023
Combinatorial isoperimetric inequality for the free factor complex
Radhika Gupta
We show that the free factor complex of the free group of rank greater than or equal to 4 does not satisfy a combinatorial isoperimetric inequality: that is, for every natural numb…
math.GR2018
Homotopy type of the complex of free factors of a free group
Benjamin Brück, Radhika Gupta
We show that the complex of free factors of a free group of rank n > 1 is homotopy equivalent to a wedge of spheres of dimension n-2. We also prove that for n > 1, the complement o…