Two subgroups H and K of a group are commensurable iff their intersection has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.

A class of groups with inert subgroups

RINAURO, Silvana
2012-01-01

Abstract

Two subgroups H and K of a group are commensurable iff their intersection has finite index in both H and K. We prove that hyper-(abelian or finite) groups with finite abelian total rank in which every subgroup is commensurable to a normal one are finite-by-abelian-by-finite.
2012
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11563/35913
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