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.File in questo prodotto:
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