P. V. Bychkov, S. F. Kamornikov, V. N. Tyutyanov, “Finite groups with hereditarily <nobr>$G$</nobr>-permutable subgroups of small order”, PFMT, 2024, Issue 1(58),Pages <nobr>63

MATHEMATICS

Finite groups with hereditarily $G$-permutable subgroups of small order

P. V. Bychkov^a, S. F. Kamornikov^a, V. N. Tyutyanov^b

^a Francisk Skorina Gomel State University
^b Gomel Branch of International University «МIТSО», Gomel

Abstract: The structure of a finite group $G$ is investigated, in which all subgroups of order 2 and 3 as well as all cyclic subgroups of order 4 are hereditarily $G$-permutable in $G$.

Keywords: finite group, hereditarily $G$-permutable subgroup, soluble group.

UDC: 512.542

Received: 03.02.2024

DOI: 10.54341/20778708_2024_1_58_63