Rigidity of Symmetric Simplicial Complexes and the Lower Bound Theorem

James Cruickshank, Bill Jackson, Shinichi Tanigawa

We show that, if $\Gamma$ is a point group of ${\mathbb{R}}^{k+1}$ of order two for some $k\ge 2$ and $\mathcal{S}$ is a $k$-pseudomanifold which has a free automorphism of order two, the…