DOI

It is proved that, in any finite group G with nilpotent subgroups A and B and the condition A∩Bg⊴⟨A,Bg⟩ for any g in G, MinG(A,B) is a subgroup of F(G). This generalizes the author's theorem about intersections of Abelian subgroups in a finite group, since this holds, for example, for Hamiltonian subgroups A and B in G.
Translated title of the contributionON INTERSECTIONS OF CERTAIN NILPOTENT SUBGROUPS IN FINITE GROUPS
Original languageRussian
Pages (from-to)55-60
Number of pages6
JournalМатематические заметки
Volume112
Issue number1
DOIs
Publication statusPublished - 2022

    Level of Research Output

  • VAK List
  • Russian Science Citation Index

    GRNTI

  • 27.00.00 MATHEMATICS

ID: 30763959