极限 over 局部有限群的轨道范畴
Limits over orbit categories of locally finite groups
AI总结:
本文修正了先前论文中的错误,并探讨了局部有限群轨道范畴上逆极限的导出函子,以及有限群扩展的更高极限谱序列的推广。
摘要:
我们纠正了论文[BLO3]中的一个错误,并借此机会更详细地考察了无限局部有限群的轨道范畴上逆极限的导出函子。主要结果表明,在许多情况下,这可以归约到有限群的轨道范畴上的极限,但我们还考虑了局部有限群扩展的更高极限 over 轨道范畴的Lyndon-Hochschild-Serre谱序列的推广。
英文摘要:
We correct an error in the paper [BLO3], and take the opportunity to examine in more detail the derived functors of inverse limits over orbit categories of (infinite) locally finite groups. The main results show how to reduce this in many cases to limits over orbit categories of finite groups, but we also look at generalizations of the Lyndon-Hochschild-Serre spectral sequence for higher limits over orbit categories for an extension of locally finite groups.
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。