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arXiv · 2512.02553

A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations

Ran Li·Long Miao·Wenxia Zhou·Yinan Chen
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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.

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Ran Li, Long Miao, Wenxia Zhou, Yinan Chen. 2025-12-02. A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations. https://arxiv.org/abs/2512.02553

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