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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2512.02553 |
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| _version_ | 1866911297917943808 |
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| author | Li, Ran Miao, Long Zhou, Wenxia Chen, Yinan |
| author_facet | Li, Ran Miao, Long Zhou, Wenxia Chen, Yinan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations Li, Ran Miao, Long Zhou, Wenxia Chen, Yinan Group Theory 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. |
| title | A New Approach from Lattice of Subgroup Sets to Generalized Solvable Extension Formations |
| topic | Group Theory |
| url | https://arxiv.org/abs/2512.02553 |