Haimiao Chen

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20242026

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math.GR2025

Finite $p$ -groups of class $2$ as central extensions

Haimiao Chen

Finite $p$ -groups of nilpotency class 2 are treated from the perspective of central extensions. Given finite abelian groups $G, A$ , we derive an explicit formula for cocycles repres…

math.GR2024

A new approach to the genus spectra of abelian $p$ -groups

Haimiao Chen, Yang Li

Given a finite group $G$ , the {\it genus spetrum} $sp (G)$ of $G$ is the set of integers $g \geq 0$ such that $G$ can act faithfully on an orientable closed surface of genus $g…

Finite p-groups of class 2 as central extensions

A new approach to the genus spectra of abelian p-groups

Finite $p$ -groups of class $2$ as central extensions

A new approach to the genus spectra of abelian $p$ -groups