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Dergiler / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 4

On Groups with the Weak Wide Commensurable Property

Mahmut KUZUCUOĞLU, Erdal ÖZYURT, Ayşe BERKMAN

Sayfa
403–412
DOI
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Özet

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).

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).

Anahtar kelimeler: Turk. J. Math., 29, (2005), 403-412. Full text: pdf Other articles published in the same issue: Turk. J. Math., vol.29, iss.4.

On Groups with the Weak Wide Commensurable Property — AJIndex