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A bound on the Schur multiplier of a prime-power group

Published online by Cambridge University Press:  17 April 2009

Graham Ellis  and
James Wiegold
Graham Ellis
Affiliation:
Max-Planck-Institut für Mathematik, Gottfried-Claren-Strasse 26, D-53225 Bonn, Germany, and Department of Mathematics, National University of Ireland, GalwayIreland, e-mail: [email protected]
James Wiegold
Affiliation:
School of Mathematics, Cardiff University, Senghenydd Road, Cardiff CF2 4YH, Wales
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The paper improves on an upper bound for the order of the Schur multiplier of a finite p-group given by Wiegold in 1969. The new bound is applied to the problem of classifying p-groups according to the size of their Schur multipliers.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 60 , Issue 2 , October 1999 , pp. 191 - 196
Copyright
Copyright © Australian Mathematical Society 1999

References

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