In this paper the authors study the class of locally graded groups all of whose subgroups are permutable or are soluble and satisfy a certain rank condition. The rank conditions in question include groups of finite abelian section rank, minimax groups and polycyclic groups. In each case necessary and sufficient conditions are given for a locally graded group to have all subgroups permutable or soluble with the given rank condition.

Groups with all subgroups permutable or soluble of finite rank / Dixon, M. R.; Ferrara, M.; Karatas, Z. Y.; Trombetti, M.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 549:(2020), pp. 195-214. [10.1016/j.jalgebra.2019.12.014]

Groups with all subgroups permutable or soluble of finite rank

Dixon M. R.;Trombetti M.
2020

Abstract

In this paper the authors study the class of locally graded groups all of whose subgroups are permutable or are soluble and satisfy a certain rank condition. The rank conditions in question include groups of finite abelian section rank, minimax groups and polycyclic groups. In each case necessary and sufficient conditions are given for a locally graded group to have all subgroups permutable or soluble with the given rank condition.
2020
Groups with all subgroups permutable or soluble of finite rank / Dixon, M. R.; Ferrara, M.; Karatas, Z. Y.; Trombetti, M.. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - 549:(2020), pp. 195-214. [10.1016/j.jalgebra.2019.12.014]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11588/787490
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