ORIENTATION REVERSING DIHEDRAL GROUP ACTIONS ON 3-MANIFOLDS
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概要
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In this paper, we consider an orientable closed 3-manifold ＄M＄ which admits a dihedral group ＄D_{2,p}(p>1)＄ action such that ＄D_{2,p}＄ contains orientation reversing involutions, and the fixed point set consists of a finite number of points. For such a pair ＄(M, D_{2,p})＄ , we study the problem that which integer can occur as the first Betti number ＄q=￥beta_{1}(M)＄ of ＄M＄ . For a pair ＄(M, D_{2,p})＄ as above we have (1) ＄q＄ is odd, or (2) ＄p＄ is odd and ＄q＄ is even integer greater than or equal to ＄p-1＄ . Furthermore, for any pair of integers ＄(p, q)＄ with condition (1) or (2), there is a pair ＄(M, D_{2,p})＄ as above with ＄￥beta_{1}(M)=q＄ .
- Yokohama City University and Yokohama National Universityの論文
- 1998-00-00
Yokohama City University and Yokohama National University | 論文
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