扭曲的莱夫谢茨数与Nielsen数
Twisted Lefschetz number and Nielsen number
摘要：
研究了扭曲莱夫谢茨数，它是经典莱夫谢茨数的推广.给出了一个用局部系数表示的同调公式。然后，我们提出了一种方法来估计尼尔森数。作为应用，讨论了具有交换基本群的空间的自映射的Nielsen数的一个算法，证明了一类群的Bass猜想.
英文摘要：
We study the twisted Lefschetz number, which is a generalization of classical Lefschetz number. A formula in terms of homology with local coefficients is given. We then propose a method to estimate the Nielsen number. As applications, an algorithm for computing the Nielsen number of a self map of a space with abelian fundamental group is discussed; and Bass' conjecture for a class of groups is proved.
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