본문 바로가기
KERD
논문KCI 등재

ELEMENTARY ABELIAN COVERINGS OF REGULAR HYPERMAPS OF TYPES (5, 5, 5) AND (5, 2, 10) OF GENUS 2

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we find elementary abelian coverings of the regular hyper- maps H₁ of type {5, 5, 5} and M₁of type {5, 2, 10} of genus 2 corresponding to the orientation-preserving automorphism groups C5, the cyclic group of order 5, and C10, the cyclic group of order 10, respectively. We also determine the reflexibility of these coverings.

Abstract

In this paper, we find elementary abelian coverings of the regular hyper- maps H₁ of type {5, 5, 5} and M₁of type {5, 2, 10} of genus 2 corresponding to the orientation-preserving automorphism groups C5, the cyclic group of order 5, and C10, the cyclic group of order 10, respectively. We also determine the reflexibility of these coverings.

참고문헌 (10)

  1. Breda d' Azevedo, A. J, "Rotary Hypermaps of Genus 2", Contribu- ties to Algebra and Geometry, 42(1), pp.39~58 (2001)
  2. Cori, R, "Maps, Hypermaps and their Automorphisms: a Survey I, II, III", Expositiones Math., 10, pp.403~437 (1992)
  3. Corn, D, "Regular Hypermaps", Europ. J. Combinatorics, 9, pp.337~351 (1988)
  4. Greenberg, L, "ALectures on Algebraic Topology" (1966), Benjamin
  5. Jones, G. A, "Graph Imbeddings, Groups, and Riemann Surfaces", Colloq. Math. Soc. Janos Bolyai, 25, pp.297~311 (1978)
  6. Jones, G. A, "Theory of Maps on Orientable Surfaces", Proc. Lon. Math. Soc., 37(3), pp.273~307 (1978)
  7. Jones, G. A, "Maps, Hypermaps and Triangle Groups", Londo Math. Soc. Lecture Note Ser., 200, pp.115~145 (1994)
  8. Kazaz, M, "Homology Action on Regular Hypermaps of Genus 2", Communications, Serias A1: Mathematics and Statistics, 51(1), pp.1~18 (2002)
  9. Rosen, K. H, "Elementary Number Theory and its Applications" (1984), Addison-Wesley
  10. Singerman, D, "Finitely Maximal Fuchsian Groups", J. London Math. Soc, 6(2), pp.29~38 (1972)

관련 논문AI추천

이 간행물의 다른 논문 (11건)