The Fixed Subgroups of Homeomorphisms of Seifert Manifolds  

作　　者：Qiang ZHANG 

机构地区：[1]School of Mathematics and Statistics,Xi'an Jiaotong University

出　　处：《Acta Mathematica Sinica,English Series》2015年第5期797-810,共14页数学学报（英文版）

基　　金：Supported by NSFC(Grant No.11201364);"the Fundamental Research Funds for the Central Universities"

摘　　要：Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold BM, and fπ ： π1 （M）→π1 （M） be an automorphism induced by an orientation-reversing homeomorphism f of M. We give a bound on the rank of the fixed subgroup of fπ, namely, rankFix（fπ） 〈 2rankπ1（M）, which is an analogue of inequalities on surface groups and hyperbolic 3-manifold groups.Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold BM, and fπ ： π1 （M）→π1 （M） be an automorphism induced by an orientation-reversing homeomorphism f of M. We give a bound on the rank of the fixed subgroup of fπ, namely, rankFix（fπ） 〈 2rankπ1（M）, which is an analogue of inequalities on surface groups and hyperbolic 3-manifold groups.

关 键 词：Seifert manifolds fixed subgroups HOMEOMORPHISMS 

分 类 号：O189.3[理学—数学]