On the finite spaces of non-trivial proper subgroups of finite groups

被引：0

作者：

Han, Lingling ^{[1
]}

Zheng, Tao ^{[1
]}

机构：

[1] Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2025年 / 229卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Poset; Finite space; Contractibility; Frattini subgroup; SIMPLE CONNECTIVITY; QUILLEN COMPLEX; P-SUBGROUPS; POSET; CONJECTURE;

D O I：

10.1016/j.jpaa.2025.107894

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the homotopy properties of L(C), the finite topological space consisting of all non-trivial proper subgroups of a finite group C. For some classes of groups C, we give the relations between the contractibility of L(C) and the algebraic properties of C, which is inspired by the study of R. E. Stong on Sp(C) and Ap(C). (c) 2025 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.

引用

页数：16

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