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Media type:
E-Article
Title:
The Bieri-Neumann-Strebel Invariant for Basis-Conjugating Automorphisms of Free Groups
Contributor:
Orlandi-Korner, Lisa A.
imprint:
American Mathematical Society, 2000
Published in:Proceedings of the American Mathematical Society
Language:
English
ISSN:
0002-9939;
1088-6826
Origination:
Footnote:
Description:
<p>The pure symmetric automorphism group of the free group on n generators, PΣ<sub>n</sub>, consists of those automorphisms which take each generator to a conjugate of itself. We describe the Bieri-Neumann-Strebel invariant of PΣ<sub>n</sub>, which determines, among other things, which subgroups containing the commutator are finitely generated.</p>