On non-periodic groups whose finitely generated subgroups are either permutable or weakly pronormal

T.V. Velychko (Oles Honchar Dnipropetrovsk National University)

Abstract


We consider some infinite groups whose finitely generated subgroups are either permutable or weakly pronormal.

Keywords


weakly pronormal subgroups; permutable subgroups; finitely generated subgroups, generalized radical

References


Hall P. "Some sufficient conditions for a group to be nilpotent", Illinois J. Math., 1958; 2: pp. 787-801. doi:10.1215/ijm/1255448649

Kurdachenko L.A., Subbotin I.Ya., Ermolkevich T.V. "On non-periodic groups whose finitely generated subgroups are either permutable or pronormal", Mathematica Bohemica, 2013; 138(1): pp. 61-74. doi:10.21136/MB.2013.143230

Plotkin B.I. "Radical groups", Mat. sbornik, 1955; 37: pp. 507-526. (in Russian)

Schmidt R. Subgroups Lattices of Groups, Walter de Gruyter, Berlin, 1994.




DOI: https://doi.org/10.15421/241309

  

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ISSN (Online): 2664-5009
ISSN (Print): 2664-4991
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