@article{oai:ynu.repo.nii.ac.jp:00006918,
 author = {Kobayashi, Masako},
 issue = {2},
 journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学},
 month = {},
 note = {application/pdf, 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＄ .},
 pages = {73--86},
 title = {ORIENTATION REVERSING DIHEDRAL GROUP ACTIONS ON 3-MANIFOLDS},
 volume = {45},
 year = {1998}
}