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Some bounds for the degree of commutativity of a p-group of maximal class, III

Published online by Cambridge University Press:  01 September 1997

A. VERA-LÓPEZ ,
J. M. ARREGI  and
F. J. VERA-LÓPEZ
A. VERA-LÓPEZ
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, Bilbao, Spain; e-mail: mtpveloa@lg.ehu.es, mtparlij@lg.ehu.es
J. M. ARREGI
Affiliation:
Departamento de Matemáticas, Facultad de Ciencias, Universidad del País Vasco, Apartado 644, Bilbao, Spain; e-mail: mtpveloa@lg.ehu.es, mtparlij@lg.ehu.es
F. J. VERA-LÓPEZ
Affiliation:
Departamento de Matemática, Aplicada y Estadística, Facultad de Informática, Campus de Espinardo, Murcia, Spain; e-mail: pacovera@fcu.um.es
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Abstract

In this paper, we obtain some new lower bounds for the degree of commutativity of a p-group of maximal class. These bounds show the relationship between a new invariant l(G) associated to the normal structure of G (which we use in the calculation of the defining relations of G) and the degree of commutativity.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 122 , Issue 2 , September 1997 , pp. 251 - 260
Copyright
Cambridge Philosophical Society 1997

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