论文标题

集团同源性的发电机和消失的猜想

Generators for Group Homology and a Vanishing Conjecture

论文作者

Roberts, Joshua

论文摘要

让$ g = f/r $是一个有限的群体,Hopf的公式在$ f $和$ r $方面表示$ g $的第二个积分同源性。扩展以前的工作,我们说明了如何找到$ h_2(g; \ mathbb {f} _p)$的生成器。提出了与Quillen的猜想有关的问题的上下文,以及示例计算。

Letting $G=F/R$ be a finitely-presented group, Hopf's formula expresses the second integral homology of $G$ in terms of $F$ and $R$. Expanding on previous work, we explain how to find generators of $H_2(G;\mathbb{F}_p)$. The context of the problem, which is related to a conjecture of Quillen, is presented, as well as example calculations.

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