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On some groups with trivial multiplicator

Published online by Cambridge University Press:  17 April 2009

James Wiegold
James Wiegold
Affiliation:
School of MathematicsUniversity of WalesCollege of CardiffSenghenydd RoadCardiff CF2 4AGUnited Kingdom
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Abstract

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I discussed the sort of thing Bernhard had in mind concerning the BFC-problem in [3], an article written for his sixieth birthday. This vigesennial contribution deals with one of the “and others”, namely the zero deficiency problem. in his article [1] bearing the same title as this one, Bernhard gave 2-generator 2-relator presentations of some metacyclic groups; if one distils and formalises the process used there, one gets the following result, to be used later in constructing some zero-deficiency finite p-groups.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 40 , Issue 2 , October 1989 , pp. 331 - 332
Copyright
Copyright © Australian Mathematical Society 1989

References

[1]Neumann, B.H., ‘On some groups with trivial multiplicator’, Publ. Math. Debrecen 4 (1956), 190–194.CrossRefGoogle Scholar
[2]Robertson, Edmund F., ‘A comment on finite nilpotent groups of deficiency zero’, Canad. Math. Bull. 23(3) (1980), 313–316.CrossRefGoogle Scholar
[3]Wiegold, James, ‘Commutator subgroups of finite p-groups’, J. Austral. Math. Soc. 1 (1969), 480–484.CrossRefGoogle Scholar