The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups

Orlandi-Korner, Lisa

doi:10.1090/S0002-9939-00-05678-1

The Bieri-Neumann-Strebel invariant for basis-conjugating automorphisms of free groups
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by Lisa A. Orlandi-Korner PDF

Proc. Amer. Math. Soc. 128 (2000), 1257-1262 Request permission

Abstract:

The pure symmetric automorphism group of the free group on $n$ generators, $P\Sigma _n$, consists of those automorphisms which take each generator to a conjugate of itself. We describe the Bieri-Neumann-Strebel invariant of $P\Sigma _n$, which determines, among other things, which subgroups containing the commutator are finitely generated.

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