Let $G$ be a finite $p$-group and $C$ be a conjugacy class of $G$. We prove that the order complex of the subrack poset of $C$ is homotopy equivalent to a $(m-2)$-sphere, where $m$ is the number of maximal elements in the subrack poset.
The dichotomy property of ${\rm SL}_2(R)$-A short note
\emph{Addendum to} Sharply $2$-transitive groups of characteristic~$0$ [arXiv:1604.00573]
A finitely presented group with transcendental spectral radius
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