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Endomorphisms of Free Groups That Preserve Automorphic Orbits

✍ Scribed by Donghi Lee

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 86 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.9041

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✦ Synopsis

We prove that if an endomorphism φ of a free group F n of a finite rank n preserves an automorphic orbit Orb AutF n W with W = 1, i.e., if φ Orb AutF n W ⊆ Orb AutF n W , then φ is an automorphism.  2002 Elsevier Science (USA)

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