阶可被p整除的真子群为超可解的有限群
Finite groups whose proper subgroups of order divisible by $p$ are supersolvable
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中文总结 AI 辅助
研究阶可被奇素数p整除且真子群为超可解但自身非超可解的有限群，通过探讨可解与不可解情形，来分析这类群的算术及结构性质。
中文摘要 AI 辅助
设p为奇素数，G为阶可被p整除的有限群。假设G的每个阶可被p整除的真子群都是超可解的，而G本身不是。本文研究这类群的算术和结构性质，涉及可解和不可解两种情况。
英文摘要
Let $p$ be an odd prime, and let $G$ be a finite group whose order is divisible by $p$. Suppose that every proper subgroup of $G$ whose order is divisible by $p$ is supersolvable, while $G$ itself is not. In this paper, we investigate the arithmetic and structural properties of such groups, addressing both the solvable and nonsolvable cases.
发表机构
- Universitat Jaume I（豪梅一世大学）
机构由 AI 辅助整理，请以论文原文为准。
