关于局部自由类群的注记
Notes on locally free class groups
摘要：
Swan的一个定理指出中心单代数中的极大序模局部自由类群同构于中心的限制理想类群。本文讨论了这一定理及其在可分代数上的推广，使它更适用于有限群的整表示。这是一篇简短的文章，旨在为非专业人士介绍这个话题。
英文摘要：
A theorem of Swan states that the locally free class group of a maximal order in a central simple algebra is isomorphic to a restricted ideal class group of the center. In this article we discuss this theorem and its generalization to separable algebras for which it is more applicable to integral representations of finite groups. This is an expository article with aim to introduce the topic for non-specialists.
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。
