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Residual finiteness of outer automorphism groups of certain 1-relator groups

โœ Scribed by Goansu Kim; C. Y. Tang


Book ID
107347880
Publisher
SP Science China Press
Year
2009
Tongue
English
Weight
239 KB
Volume
52
Category
Article
ISSN
1674-7283

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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

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We show that certain properties of groups of automorphisms can be read off from the actions they induce on the finite characteristic quotients of their underlying group G. In particular, we obtain criteria for groups of automorphisms of a ลฝ . residually finite and soluble minimax -by-finite group G