2 citations · 4 across the 3 of their papers we have counts for
4 papers
Asphericity for certain groups of cohomological dimension 2
Steve Gersten
A finite connected 2-complex K whose fundamental group is of cohomological dimension 2 is aspherical iff the subgroup Σ_K of H_2(K) consisting of spherical 2-cycles is zero. A fini…
Topology of the Standard Model, I: Fermions
Steve Gersten
The Harari-Shupe model for fermions is extended to a topological model which contains an explanation for the observed fact that there are only three generations of fermions. Topolo…
Isoperimetric inequalities for nilpotent groups
S. M. Gersten, D. F. Holt, T. R. Riley
We prove that every finitely generated nilpotent group of class c admits a polynomial isoperimetric function of degree c+1 and a linear upper bound on its filling length function.
Filling Length in Finitely Presentable Groups
S. Gersten, T. Riley
Filling length measures the length of the contracting closed loops in a null-homotopy. The filling length function of Gromov for a finitely presented group measures the filling len…