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Three-groups with cyclic centre and central quotient of maximal class

Published online by Cambridge University Press:  09 April 2009

S. B. Conlon
S. B. Conlon
Affiliation:
Department of Pure Mathematics University of SydneyNSW 2006, Australia
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Abstract

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All three-groups with cyclic centre and such that the quotient by the centre has maximal class are listed and a presentation with generators and relations for each is given.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 25 , Issue 1 , February 1978 , pp. 25 - 28
Copyright
Copyright © Australian Mathematical Society 1978

References

Blackburn, N. (1958), “On a special class of p-groups”, Acta Math. 100, 45–92.CrossRefGoogle Scholar
Conlon, S. B. (1976), “p-Groups with an abelian maximal subgroup and cyclic center”, J. Austral. Math. Soc. 22, 221–233.CrossRefGoogle Scholar
Huppert, B. (1967), Endliche Gruppen I (Die Grundlehren der mathematischen Wissenschaften, 134. Springer-Verlag, Berlin, 1967).CrossRefGoogle Scholar