The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels

Abstract

We explore the extent to which constructing the inductive theory of $\mathfrak{X}$-submaximal subgroups is possible. To this end, we study the behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels and construct examples where such behavior is irregular.

References in corpus (1)

• The proper definition and Wielandt-Hartley's theorem for submaximal $\mathfrak{X}$-subgroups

Cited by in corpus (1)

• Automorphisms of nonsplit extensions of 2-groups by $PS{L}_2(q)$