论文标题
Abelian $ p $ -groups的新方法
A new approach to the genus spectra of abelian $p$-groups
论文作者
论文摘要
给定有限的$ g $，{\ it属spetrum} $ {\ rm sp}（g）$ g $是$ g $的$是整数$ g \ geq 0 $，因此$ g $可以通过方向$ g $ fiage table otirentional $ g $ fiage ocky tauns $ g $ fiakeentional $ g $ a $ g $。 $ {\ rm sp}（g）$的确定是一个古典主题，历史悠久，但缺乏进步。在本文中，当$ g $是带有$ p> 2 $的Abelian $ p $ group时，我们为$ {\ rm sp}（g）$提出了一种新方法，在函数中为$ {\ rm sp}（g）$提供了结构描述，可以在一个函数中以一定的多个步骤计算。
Given a finite group $G$, the {\it genus spetrum} ${\rm sp}(G)$ of $G$ is the set of integers $g\geq 0$ such that $G$ can act faithfully on an orientable closed surface of genus $g$ by orientation-preserving homeomorphisms. The determination of ${\rm sp}(G)$ is a classical topic and has a long history, but progress is lacked. In this paper, when $G$ is an abelian $p$-group with $p>2$, we propose a new approach to ${\rm sp}(G)$, giving a structural description for ${\rm sp}(G)$ in terms of a function which can be computed in finitely many steps.
