A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations
Group Theory
2025-12-03 v1
Abstract
In this paper, we establish the decomposition of morphisms from lattice of subgroup sets to generalized solvable extension formations. To achieve this, we develop a unified framework involving maximal subgroup functors, generating formation morphism and contraction-extension functors. In particular, solvability-induced sets of maximal subgroups are determined and generating formation morphism gives rise to generalized solvable extension formations.
Keywords
Cite
@article{arxiv.2512.02553,
title = {A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations},
author = {Ran Li and Long Miao and Wenxia Zhou and Yinan Chen},
journal= {arXiv preprint arXiv:2512.02553},
year = {2025}
}