caa a22 4500 605462100 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s10114-015-3584-2 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3584-2 Zhang Qiang School of Mathematics and Statistics, Xi'an Jiaotong University, 710049, Xi'an, P. R. China aut The fixed subgroups of homeomorphisms of Seifert manifolds [Elektronische Daten] [Qiang Zhang] Let M be a compact connected orientable Seifert manifold with hyperbolic orbifold B M , and f π : π 1(M) → π 1(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 f π , namely, rankFix(f π ) < 2rankπ 1(M), which is an analogue of inequalities on surface groups and hyperbolic 3-manifold groups. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Seifert manifolds nationallicence fixed subgroups nationallicence homeomorphisms nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 797-810 1439-8516 31:5<797 2015 31 10114 https://doi.org/10.1007/s10114-015-3584-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3584-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhang Qiang School of Mathematics and Statistics, Xi'an Jiaotong University, 710049, Xi'an, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/5(2015-05-01), 797-810 1439-8516 31:5<797 2015 31 10114