English

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

Group Theory 2020-08-25 v1

Abstract

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

Cite

@article{arxiv.2006.09752,
  title  = {The behavior of $\pi$-submaximal subgroups under homomorphisms with $\pi$-separable kernels},
  author = {Danila O. Revin and Andrei V. Zavarnitsine},
  journal= {arXiv preprint arXiv:2006.09752},
  year   = {2020}
}
R2 v1 2026-06-23T16:23:58.044Z