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Countable recognizability and nilpotency properties of groups

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Abstract

A class of groups is said to be countably recognizable if a group belongs to  whenever all its countable subgroups lie in . It is proved here that most of the relevant group classes of generalized nilpotent groups are countably recognizable. Moreover, some further countably recognizable group classes are exhibited.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Università di Napoli Federico II, Complesso Universitario Monte S. Angelo, Via Cintia, Naples, Italy

    Francesco de Giovanni & Marco Trombetti

Authors
  1. Francesco de Giovanni
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  2. Marco Trombetti
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Correspondence to Francesco de Giovanni.

Additional information

The authors are members of GNSAGA (INdAM), and work within the \(\hbox {A}_{\mathrm{D}}\hbox {V}\)-AGTA project.

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de Giovanni, F., Trombetti, M. Countable recognizability and nilpotency properties of groups. Rend. Circ. Mat. Palermo, II. Ser 66, 399–412 (2017). https://doi.org/10.1007/s12215-016-0261-y

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  • DOI: https://doi.org/10.1007/s12215-016-0261-y

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