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On permutational products of groups

Published online by Cambridge University Press:  09 April 2009

R. J. Gregorac
R. J. Gregorac
Affiliation:
Iowa State University U. S. A. and The Australian National University Canberra
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We here study permutational products of groups, a study which was initiated by B. H. Neumann [8], [9].

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 111 - 135
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Allenby, R. B. J. T., ‘Generalized regular products of groups’, Ph. D. Thesis, University of Wales, 1966.Google Scholar
[2]Baumslag, G., ‘On the Residual Finiteness of Generalized Free Products of Nilpotent Groups’, Trans. Amer. Math. Soc. 106 (1963), 193–209.CrossRefGoogle Scholar
[3]Gregorac, R. J., ‘On the Residual Properties of Generalized Free Products’, unpublished.Google Scholar
[4]Gruenberg, K., ‘Residual Properties of Infinite Soluble Groups’, Proc. London Math. Soc. (3) 7 (1957), 29–62.CrossRefGoogle Scholar
[5]Higman, G., ‘Amalgams of p-Groups’, J. Algerbra, 1, (1964), 301–305.CrossRefGoogle Scholar
[6]Kurosh, A., The Teory of Groups, vol. II, (Chelsea Publishing Co., 1960).Google Scholar
[7]Neumann, B. H., ‘An Essay on Free Products of Groups with Amalgamations’, Phil. Trans. Royal Soc. of London (A) 246 (1954), 503–554.Google Scholar
[8]Neumann, B. H., ‘Permutational Products of Groups’, J. Austral. Math. Soc. 1 (1960) 299–310.CrossRefGoogle Scholar
[9]Neumann, B. H., ‘On Amalgams of Periodic Groups’, Proc. Roy. Soc. (A) 255 (1960), 477–489.Google Scholar
[10]Wiegold, J., ‘Nilpotent products of groups with amalgamations’, Publ. Math. Debrecen 6 (1959), 131–168.CrossRefGoogle Scholar
[11]Wiegold, J., ‘Some Remarks on Generalized Products of Groups with Amalgamations’, Math. Zeitschr. 75, (1961), 57–78.CrossRefGoogle Scholar
[12]Wiegold, J., ‘Embedding Group Amalgams in Wreath Products’, Math. Zeitschr. 80 (1962), 148–153.CrossRefGoogle Scholar
[13]Wiegold, J., ‘Soluble Embeddings of Groups Amalgams’, Publ. Math. Debrecen 12 (1965), 227–230.CrossRefGoogle Scholar
[14]Golod, E. S. and Šafarevič, I. R., ‘On the class field tower’ [Russian]. Izvestiya akad. Nauk. S.S.S.R., Ser. Mat. 28 (1964), 261–272.Google Scholar
[15]Allenby, R. B. J. T., ‘Permutational Products and Regular Products of Groups’, Trans. Amer. Math. Soc., 136 (1969), 537–543.CrossRefGoogle Scholar
[16]Majeed, Abdul, ‘Permutational Products of Groups and Embedding theory of Group Amalgams’, thesis, Australian National University, Canberra, 1966.Google Scholar
[17]Bryce, R. A., ‘Some Results concerning Group Amalgams and their Free Products’, thesis University of Queensland, 1964.Google Scholar