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Class two nilpotent capable groups

Published online by Cambridge University Press:  17 April 2009

Hermann Heineken
Affiliation:
Universität Würzburg, Mathematisches Insitut, Am Hubland, D–97074 Würzburg, Germany
Daniela Nikolova
Affiliation:
Institute of Mathematics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. Block 8, 1113–Sofia, Bulgaria
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Abstract

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We give a bound for the number of generators for groups of exponent p depending on the rank of the centre when centre and commutator subgroup coincide, provided that the group is isomorphic to the quotient group modulo the centre of some group.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1996

References

REFERENCES

[1]Beyl, F.R. and Tappe, J., Group extensions, representations, and the Schur multiplicator, Lecture Notes in Mathematics 958 (Springer Verlag, Berlin, Heidelberg, New York, 1982).CrossRefGoogle Scholar
[2]Heineken, H., ‘Nilpotent groups of class 2 that can appear as central quotient groups’, Rend. Sem. Mat. Univ. Padova 84 (1990), 241248.Google Scholar
[3]Huppert, B., Endliche Gruppen I (Springer-Verlag, Berlin, Heidelberg, New York, 1967).CrossRefGoogle Scholar