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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 577 - 582 (6page)
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In this paper we consider all orientation-preserving $\mathbb{Z}_{4}$-actions on $3$-dimensional handlebodies $V_g$ of genus $g>0$. We study the graph of groups $(\Gamma($v$),\mathbf{G(v)})$, which determines a handlebody orbifold $V(\Gamma($v$),{\mathbf{G(v)}})\simeq{V_g}/\mathbb{Z}_{4}$. This algebraic characterization is used to enumerate the total number of $\mathbb{Z}_{4}$ group actions on such handlebodies, up to equivalence.
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참고문헌 (5)
참고문헌 신청
D. I. Fuchs-Rabinovitch / 1940 / On the automorphism group of free products / I, Mat. Sb. 8:265~276
J. Kalliongis / 1988 / Equivalence and strong equivalence of actions on handle-bodies / Trans. Amer. Math. Soc. 308:721~745
김정수 / 2009 / Structures of geometric quotient orbifolds of three-dimensional G-manifolds of genus two / 대한수학회지 46(4):859~893
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc. 59(3):373~416
J. Prince-Lubawy / Equivalence of cyclic p2-actions on handlebodies
J. Kalliongis / 1988 / Equivalence and strong equivalence of actions on handle-bodies / Trans. Amer. Math. Soc. 308:721~745
김정수 / 2009 / Structures of geometric quotient orbifolds of three-dimensional G-manifolds of genus two / 대한수학회지 46(4):859~893
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc. 59(3):373~416
J. Prince-Lubawy / Equivalence of cyclic p2-actions on handlebodies
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