On Groups with the Weak Wide Commensurable Property

Authors: AYŞE BERKMAN, MAHMUT KUZUCUOĞLU, ERDAL ÖZYURT

Abstract: An infinite group with the weak wide commensurable property is shown to be abelian, provided that it is locally finite or locally graded or non-perfect or linear. We also investigate the properties of infinite non-abelian groups with the weak wide commensurable property. Moreover, we describe completely the structure of infinite locally finite groups whose p-subgroups have the weak wide commensurable property. (AMS MSC: 20F50, 20E34).

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