Title: On a question of the Kourovka Notebook concerning permutability
Authors: Ballester-Bolinches, A.
Esteban-Romero, R.
Kamornikov, S.F.
Pérez-Calabuig, V.
Каморников, С.Ф.
Keywords: Finite group
Nilpotent group
Schmidt subgroup
Permutable subgroup
Issue Date: 2022
Citation: On a question of the Kourovka Notebook concerning permutability / A. Ballester-Bolinches [et al.] // Journal of Algebra. - 2022. - V. 608. - P. 382-387.
Abstract: We answer the question 17.56 of the Kourovka Notebook posed by V.N. Knyagina and V.S. Monakhov about subgroups of finite groups permuting with its Schmidt subgroups. We characterise the Schmidt subgroups of a finite group with trivial Frattini subgroup that permute with its Schmidt subgroups.
URI: http://elib.gsu.by/jspui/handle/123456789/44806
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