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Abstract
In this note we describe the exponent semigroups of finite p-groups of maximal class and finite p-groups of class at most 5. Consequently, sharp bounds for the exponent of the Schur multiplier of a finite p-group of class at most 4 are obtained. Our results extend some well-known results of Jones (1974).
Received: 2006-07-22
Revised: 2007-11-06
Published Online: 2008-07-16
Published in Print: 2008-July
© de Gruyter 2008