图范畴到群范畴的“几乎”完全嵌入
An "almost" full embedding of the category of graphs into the category of groups
摘要：
我们构造了一个函子从图的范畴到群的群范畴，它是忠实的和“几乎”满的，在这个意义上说，它诱导了Hom集的双射到群的群范畴中的平凡同态和共轭。我们提供了几个应用程序，这种建设的本地化（即幂等函子）的群范畴和同伦范畴。
英文摘要：
We construct a functor from the category of graphs to the category of groups which is faithful and "almost" full, in the sense that it induces bijections of the Hom sets up to trivial homomorphisms and conjugation in the category of groups. We provide several applications of this construction to localizations (i.e. idempotent functors) in the category of groups and the homotopy category.
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。
