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On the residual finiteness of permutational products of groups

Published online by Cambridge University Press:  09 April 2009

R. B. J. T. Allenby
R. B. J. T. Allenby
Affiliation:
School of MathematicsThe University Leeds, England. LS2 9JT.
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In a recent paper Gregorac [1] has posed the following question: if P is a permutational product of the amalgam = A ∪ B|H and if P is residually finite are all the permutational products of residually finite?

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 11 , Issue 4 , November 1970 , pp. 504 - 506
Copyright
Copyright © Australian Mathematical Society 1970

References

[1]Gregorac, R. J., ‘Residual finiteness of permutational products’, J. Aust. Math. Soc. 10 (1969), 423–428.CrossRefGoogle Scholar
[2]Gruenberg, K. W., ‘Residual properties of infinite soluble groups’, Proc. London Math. Soc. 7 (1957), 29–62.CrossRefGoogle Scholar
[3]Neumann, B. H., ‘Permutational products of groups’, J. Aust. Math. Soc. 1 (1960), 299–310.CrossRefGoogle Scholar