In this paper we study infinite groups in which the polycyclicity is a transitive relation on the set of all $2$-generator subgroups. We also present a short overview of known results about finite and infinite groups in which a given property is transitive on the set of all $2$-generator subgroups.

Transitivity of properties of 2-generator subgroups

DELIZIA, Costantino
;
NICOTERA, Chiara
2009

Abstract

In this paper we study infinite groups in which the polycyclicity is a transitive relation on the set of all $2$-generator subgroups. We also present a short overview of known results about finite and infinite groups in which a given property is transitive on the set of all $2$-generator subgroups.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11386/2601063
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