The fixed subgroups of homeomorphisms of Seifert manifolds

The fixed subgroups of homeomorphisms of Seifert manifolds
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DOI:
10.1007/s10114-015-3584-2
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发表时间:
2015-04
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
Qiang Zhang
Qiang Zhang
中科院分区:
其他
文献类型:
--
作者:
Qiang Zhang

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LetMbe a compact connected orientable Seifert manifold with hyperbolic orbifoldBM, andfπ:π1(M) →π1(M) be an automorphism induced by an orientation-reversing homeomorphismfofM. We give a bound on the rank of the fixed subgroup offπ, namely, rankFix(fπ) < 2rankπ1(M), which is an analogue of inequalities on surface groups and hyperbolic 3-manifold groups.