幂零流形上仿射n值映射的Nielsen数
Nielsen numbers of affine n-valued maps on nilmanifolds
AI总结：
本文研究了幂零流形上仿射n值映射的Reidemeister数和Nielsen数，并建立了一种计算有限生成无挠幂零群上广义扭曲共轭类数的方法。
摘要：
幂零流形是连通且单连通的幂零Lie群G关于一致格N的商N\G。本文确定了此类幂零流形上仿射n值映射的Reidemeister数和Nielsen数。此类映射向G的给定提升分裂为Lie群G的n个仿射映射。为得到此结果，我们还建立了一种计算有限生成无挠幂零群上广义扭曲共轭类数的方法。
英文摘要：
A nilmanifold is a quotient N\G of a connected and simply connected nilpotent Lie group G by a uniform lattice N. In this paper we determine the Reidemeister and Nielsen number of affine n-valued maps on such a nilmanifold. These are maps for which a given lifting to G splits into n affine maps of the Lie group G. In order to obtain this result we also establish a way of computing the number of generalized twisted conjugacy classes on finitely generated torsion free nilpotent 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。
