Symmetric automorphisms of free groups, BNSR-invariants, and finiteness properties

11 Jul 2016 Zaremsky Matthew C. B.

The BNSR-invariants of a group $G$ are a sequence $\Sigma^1(G)\supseteq \Sigma^2(G) \supseteq \cdots$ of geometric invariants that reveal important information about finiteness properties of certain subgroups of $G$. We consider the symmetric automorphism group $\Sigma Aut_n$ and pure symmetric automorphism group $P\Sigma Aut_n$ of the free group $F_n$, and inspect their BNSR-invariants... (read more)

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Categories


  • GROUP THEORY
  • GEOMETRIC TOPOLOGY