A-Ming Liu

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20162024

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math.GR2024

The structure of a finite group and the maximum $π$ -index of its elements

A-Ming Liu, Andrey V. Vasil'ev

Given a set of primes $π$ , the $π$ -index of an element $x$ of a finite group $G$ is the $π$ -part of the index of the centralizer of $x$ in $G$ . If $π = {p}$ is a singleton, we just…

math.GR2024

A contribution to the theory of $σ$ -properties of a finite group

A-Ming Liu, Wenbin Guo, Vasily G. Safonov +1

We characterize some classes of finite soluble groups. In particular, we prove that: a finite group $G$ is supersoluble if and only if $G$ has a normal subgroup $D$ such that $G / D$ …

The structure of a finite group and the maximum π-index of its elements

A contribution to the theory of σ-properties of a finite group

The structure of a finite group and the maximum $π$ -index of its elements

A contribution to the theory of $σ$ -properties of a finite group