一些群论质量公式
Some group theoretical mass formulae
摘要：
“质量公式”是涉及自同构群阶的倒数之和的公式。我们提供了几个这样的公式，例如涉及有限群的覆叠群的公式。其他人推广的公式P.霍尔，repalcing类的交换$p$ -群的子类，或isoclinism类的非阿贝尔群，也通过取代自同构群的holomorphs等，我们还注意到关系与罗杰斯-Ramanujan和相关的身份。
英文摘要：
A 'mass formula' is a formula involving a sum of reciprocals of automorphism groups orders. We provide several such formulae, e.g. ones involving covering groups of finite groups. Others generalize a formula of P.Hall, repalcing the class of abelian $p$-groups by subclasses, or by isoclinism classes of non-abelian groups, also by replacing automorphism groups by holomorphs, etc. We also note relations with the Rogers-Ramanujan and related identities.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
