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Residual finiteness of permutational products

Published online by Cambridge University Press:  09 April 2009

R. J. Gregorac
R. J. Gregorac
Affiliation:
Institute of Advanced Studies The Australian National University Canberra
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Conditions sufficient to guarantee that a generalized free product of two residually finite groups A and B is again residually finite have been given by Baumslag [1]. We here show the same conditions guarantee that a certain permutational product of A and B is also residually finite.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 3-4 , November 1969 , pp. 423 - 428
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Baumslag, G., ‘On the Residual Finiteness of Generalised Free Products of Nilpotent Groups’, Trans. Amer. Math. Soc. 106 (1963), 193–209.CrossRefGoogle Scholar
[2]Gregorac, R. J., ‘On the Residual Properties of Generalized Free Products’, unpublished.Google Scholar
[3]Gregorac, R. J., ‘On Permutational Products of Groups’, J. Austral. Math. Soc. 10 (1969), 111–135.CrossRefGoogle Scholar
[4]Neumann, B. H., ‘Permutational Products of Groups’, J. Austral. Math. Soc. 1 (1960), 299–310.CrossRefGoogle Scholar