Work

Quantitative properties on non-power subgroups of finite groups

Year: 2025

Type: article

Abstract: Let G be a group and H be a subgroup of G. H is called a power subgroup of G if there exists a non-negative integer m such that $$H=G^m$$ , where $$G^m:=\langle g^m:g\in G\rangle $$ . A subgroup that is not a power subgroup is a non-power subgroup. Let nps(G) denote the number of non-power subgroups of G. In this paper, we establish the lower bounds of nps(G) for finite non-cyclic nilpotent groups.

Source: Acta Universitatis Sapientiae Mathematica

DOI: 10.1007/s44426-025-00013-z

Authors: Jia Liu, Wei Meng

Institution: Guilin University of Electronic Technology

Language: English

Topic: Finite Group Theory Research

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,390

Funder: National Natural Science Foundation of China