Nielsen type numbers and homotopy minimal periods for maps on the 3-nilmanifolds

作     者：Jong Bum LEE 

作者机构：Department of MathematicsSogang University Seoul 121-742 Korea 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2008年第51卷第3期

页      面：351-360页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：the Sogang University (KOREA) Research Grant in 2006 and in part by a grant from ABRL by Korea Research Foundation Grant funded by the Korean Government (MOEHRD) (Grant No. H00021) a BMEC grant (Grant No. KZ200710025012) 

主　　题：homotopy minimal period Nielsen number Nielsen type number nilmanifold 55M20 57S30 

摘      要：For all continuous maps on the 3-nilmanifolds, we give explicit formulae for a complete computation of the Nielsen type numbers NP_n(f)and Nφ_n(f). The most general cases were explored by Heath and Keppelmann and the complementary part is studied in this paper. While studying the homotopy minimal periods of all maps on the 3-nilmanifolds, we also give a complete description of the homotopy minimal periods for all maps on the 3-nilmanifolds, including a correction to Jezierski and Marzantowicz’s result.