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The Pure Symmetric Automorphisms of a Free Group Form a Duality Group

✍ Scribed by Noel Brady; Jon McCammond; John Meier; Andy Miller

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 177 KB
Volume: 246
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8944

No coin nor oath required. For personal study only.

✦ Synopsis

The pure symmetric automorphism group of a finitely generated free group consists of those automorphisms which send each standard generator to a conjugate of itself. We prove that these groups are duality groups.

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