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Residual Finiteness of Outer Automorphism Groups of Certain Pinched 1-Relator Groups

✍ Scribed by R.B.J.T. Allenby; Goansu Kim; C.Y. Tang

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 118 KB
Volume: 246
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8987

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✦ Synopsis

showed that outer automorphism groups of fundamental groups of closed orientable surfaces are residually finite. Here we generalize her result by showing that outer automorphism groups of generalized free products of two free groups amalgamating a maximal cyclic subgroup are residually finite. From this it follows that mapping class groups of closed orientable and nonorientable surfaces are residually finite. The latter answers a question raised by A. M. Gaglione.

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