Groups with all subgroups permutable or of finite rank

• Autorzy: Martyn Dixon , Yalcin Karatas
• Języki publikacji: EN

Abstrakty

EN

In this paper we investigate the structure of X-groups in which every subgroup is permutable or of finite rank. We show that every subgroup of such a group is permutable.

Słowa kluczowe

EN

Permutable subgroup; Finite rank; Locally nilpotent

Kategorie tematyczne

• 20E15: Chains and lattices of subgroups, subnormal subgroups
• 20F19: Generalizations of solvable and nilpotent groups

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 950-957

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Martyn Dixon

• University of Alabama

autor

Yalcin Karatas

• University of Alabama

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0012-z