본문 바로가기
KERD
논문KCI 등재

Conjugacy classes of automorphisms p-groups

Ruben A. Hidalgo
대한수학회 (The Korean Mathematical Society)|2011.07|대한수학회보 (Bulletin of the KMS)|제48권 제4호|pp. 847-851

0

조회

0

다운로드

0

인용

0

참고문헌

키워드

automorphismsRiemann surfaces
주제분류수학

초록

In this paper we provide examples of pairs of conformally non-equivalent, but topologically equivalent, p-groups H_1, H_2< Aut(S), where S is a closed Riemann surface of genus g ≥ 2, so that S/H_j has genus zero and all its cone points are of order equal to p.

Abstract

In this paper we provide examples of pairs of conformally non-equivalent, but topologically equivalent, p-groups H_1, H_2< Aut(S), where S is a closed Riemann surface of genus g ≥ 2, so that S/H_j has genus zero and all its cone points are of order equal to p.

참고문헌 (15)

  1. A. Carocca, "Generalized Humbert curves", Israel J. Math, 164, pp.165~192 (2008)
  2. M. Carvacho, "Equivalence of Actions on Compact Riemann Surfaces", 박사, pp.2010
  3. G. Castelnuovo, "Sulle serie algebriche di gruppi di punti appartenenti ad una curve algebraica, Rendiconti della R", pp.509~ (1906), Memorie scelte
  4. G. Gonzalez-Diez, "On prime Galois coverings of the Riemann sphere", Ann. Mat. Pura Appl. (4), 168, pp.1~15 (1995)
  5. G. Gonzalez-Diez, "Loci of curves which are prime Galois coverings of P1", Proc. London Math. Soc. (3), 62(3), pp.469~489 (1991)
  6. G. Gonzalez-Diez, "Moduli of Riemann surfaces with symmetry, Dis- crete groups and geometry (Birmingham, 1991)", London Math. Soc. Lecture Note Ser, 176, pp.75~93 (1992), Cambridge Univ. Press
  7. G. Gonzalez-Diez, "Conformal versus topological conjugacy of automorphisms on compact Riemann surfaces", Bull. London Math. Soc, 29(3), pp.280~284 (1997)
  8. G. Gonzalez-Diez, "Generalized Fermat curves", J. Algebra, 321(6), pp.1643~1660 (2009)
  9. J. Gilman, "On conjugacy classes in the Teichmuller modular group", Michigan Math. J, 23(1), pp.53~63 (1976)
  10. G. Gromadzki, "On conjugacy of p-gonal automorphisms of Riemann surfaces", Rev. Mat. Complut, 21(1), pp.83~87 (2008)
  11. G. Gromadzki, "On gonality of Riemann surfaces", Geome-triae Dedicata, 149(1), pp.1~14 (2010)
  12. W. J. Harvey, "On branch loci in Teichmuller space", Trans. Amer. Math. Soc, 153, pp.387~399 (1971)
  13. M. Leyton, "On uniqueness of automorphisms groups of Riemann surfaces", Rev. Mat. Iberoam, 23(3), pp.793~810 (2007)
  14. J. Nielsen, "Untersuchungen zur Topologie der geschlossenen zweiseitigen Flachen", Acta Math, 50, pp.189~358 (1927)
  15. W. P. Thurston, "The geometry and topology of 3-manifolds" (1978), Princeton Lecture Notes

관련 논문AI추천

ON CONJUGACY OF p-GONAL AUTOMORPHISMSRuben A. Hidalgo대한수학회 · 대한수학회보2012 · 제49권 제2호On fixed points on compact Riemann surfacesGrzegorz Gromadzki대한수학회 · 대한수학회보2011 · 제48권 제5호$\mathbb{C}$-Fuchsian subgroups of some non-arithmetic latticesLi-Jie Sun강원경기수학회 · 한국수학논문집2022 · 제30권 제2호Extremal configurations of three or four symmetries on a Riemann surfaceEwa Kozlowska-Walania대한수학회 · 대한수학회보2019 · 제56권 제1호On the canonical cusps in complex hyperbolic surfaces김준형대한수학회 · 대한수학회지2012 · 제49권 제2호A geometric approach to the study of automorphism groupsSteven G. Krantz대한수학회 · 대한수학회보2016 · 제53권 제4호

이 간행물의 다른 논문 (15건)

On stability problems with shadowing property and its application한길준, 강동승, 주항연pp. 673-688Neighborhoods of certain subclasses of analytic functions with negative coefficientsMohamed K. Aouf, Hanan E. Darwishpp. 689-695On sufficient conditions for strongly starlike functions associated with a linear operatorJin-Lin Liupp. 697-704Boundary controllability of semilinear neutral evolution systems정재욱, 박종열pp. 705-712Dynamics of transcendental entire functions with Siegel disks and its applicationsKoh Katagatapp. 713-724
원문 보기