四边的有限可解切群的 Gruenberg-Kegel 图
群论
2026-04-03 v1
摘要
我们证明，存在唯一一张具有四条边的图可为可解切群的 Gruenberg-Kegel 图。这一工作促进了对可解切群 Gruenberg-Kegel 图的分类，后者在 [A. B"achle, A. Kiefer, S. Maheshwary, 和 A. del R\'io. "Gruenberg-Kegel graphs: Cut groups, rational groups and the prime graph question" Forum Mathematicum, vol. 35, no. 2, 2023, pp. 409-429. https://doi.org/10.1515/forum-2022-0086] 中已启动。
关键词
引用
@article{arxiv.2604.01817,
title = {Gruenberg-Kegel graphs with four edges of finite solvable cut groups},
author = {Sara C. Debón and Diego García-Lucas and Ángel del Río},
journal= {arXiv preprint arXiv:2604.01817},
year = {2026}
}
备注
18 pages