6533b82afe1ef96bd128c017

RESEARCH PRODUCT

On two questions from the Kourovka Notebook

S. F. KamornikovH. MengAdolfo Ballester-bolinchesJohn Cossey

subject

010101 applied mathematicsAlgebraAlgebra and Number Theory010102 general mathematics0101 mathematics01 natural sciencesMathematics

description

Abstract The aim of this paper is to give answers to some questions concerning intersections of system normalisers and prefrattini subgroups of finite soluble groups raised by the third author, Shemetkov and Vasil'ev in the Kourovka Notebook [10] . Our approach depends on results on regular orbits and it can be also used to extend a result of Mann [9] concerning intersections of injectors associated to Fitting classes.

https://doi.org/10.1016/j.jalgebra.2017.12.014