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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2018.1
- 수록면
- 573 - 581 (9page)
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In this paper we consider all orientation-preserving Zp2 -actions on 3-dimensional handlebodies Vg of genus g > 0 for p an odd prime. To do so, we examine particular graphs of groups ((v);G(v)) in canonical form for some 5-tuple v = (r; s; t; m; n) with r + s + t + m > 0. These graphs of groups correspond to the handlebody orbifolds V ((v);G(v)) that are homeomorphic to the quotient spaces Vg=Zp2 of genus less than or equal to g. This algebraic characterization is used to enumerate the total number of Zp2 -actions on such handlebodies, up to equivalence.
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참고문헌 (3)
참고문헌 신청
J. Kalliongis / 1988 / Equivalence and strong equivalence of actions on handle-bodies / Trans. Amer. Math. Soc 308(2):721~745
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc 59(3):373~416
Jesse Prince-Lubawy / 2016 / Equivalence of Z4-actions on Handlebodies of Genus g / Kyungpook Mathematical Journal 56(2):577~582
D. McCullough / 1989 / Group actions on handlebodies / Proc. London Math. Soc 59(3):373~416
Jesse Prince-Lubawy / 2016 / Equivalence of Z4-actions on Handlebodies of Genus g / Kyungpook Mathematical Journal 56(2):577~582
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