Open AccessOn the structure of some non-periodic groups whose subgroups of infinite special rank are transitively normal
Author(s) -
T.V. Velychko
Publication year - 2021
Publication title -
dopovidi nacionalʹnoï akademiï nauk ukraïni/dopovìdì nacìonalʹnoï akademìï nauk ukraïni
Language(s) - English
Resource type - Journals
eISSN - 2518-153X
pISSN - 1025-6415
DOI - 10.15407/dopovidi2021.06.012
Subject(s) - rank (graph theory) , mathematics , normal subgroup , abelian group , group (periodic table) , finitely generated abelian group , combinatorics , pure mathematics , physics , quantum mechanics
A group G has a finite special rank r, if every finitely generated subgroup of G can be generated by at most r elements, and there exists a finitely generated subgroup H which has exactly r generators. This paper is devoted to genera lized radical non-Abelian groups of infinite special rank whose subgroups of infinite special rank are transitively normal.