본문 바로가기
KERD
논문KCI 등재

One relator quotients of the extended modular group

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we obtain one relator quotients of the extended modular group 􀀀 by adding an extra relation to the existing two relations. Then, we show that some of one-relator quotients of ┍ are M-groups.

Abstract

In this paper, we obtain one relator quotients of the extended modular group 􀀀 by adding an extra relation to the existing two relations. Then, we show that some of one-relator quotients of ┍ are M-groups.

참고문헌 (20)

  1. F.R. Beyl, "E¢ cient presentations of GL(2,Z) and PGL(2,Z)", 135~137 (1986)
  2. E. Bujalance, "Groups acting on bordered Klein surfaces with maximal symmetry", 50~58 (2003)
  3. E. Bujalance, "Subgroups of M-groups", Q. J. Math, 54(1), pp.49~60 (2003)
  4. E. Bujalance, "Automorphism criteria for M-groups", Proc. Edinb. Math. Soc., pp.339~351 (2004)
  5. M. Conder, "Three-relator quotients of the modular group", Quart. J. Math, 38(2), pp.427~447 (1987)
  6. M. Conder, "Normal subgroups of low index in the modular group and other Hecke groups, to appear Combinatorial Group Theory, Number Theory and Discrete Groups;Contemporary Mathematics series", American Mathematical Society
  7. H.S.M. Coxeter, "Generators and relations for discrete groups" (1957), Springer-Berlin
  8. J.J. Etayo, "Bordered and unbordered Klein surfaces with maximal symmetry", J.Pure Appl. Algebra, 42, pp.29~35 (1986)
  9. B. Fine, "One-relator quotients and free products of cyclics", Proc. Amer. Math. Soc., pp.249~254 (1988)
  10. B. Fine, "Algebraic generalizations of discrete groups: a path to combinatorial group theory through one-relator products, Pure and Applied Mathematics, Marcel Dekker" (1999), Marcel Dekker
  11. B. Fine, "A Freiheitssatz for certain one-relator amalgamated products, Combinatorial and geometric group theory;London Math. Soc. Lecture Note Ser.", pp.73~86 (1995), Cambridge Univ. Press
  12. N. Greenleaf, "Bordered Klein surfaces with maximal symmetry", Trans. Amer. Math. Soc, 274(1), pp.265~283 (1982)
  13. G.A. Jones, "Automorphisms and congruence subgroups of the extended modular group", J. London Math. Soc, 34(2), pp.26~40 (1986)
  14. C.L. May, "Automorphisms of compact Klein surfaces with boundary", Paci…c J. Math, 59, pp.199~210 (1975)
  15. C.L. May, "Large automorphism groups of compact Klein surfaces with boundary", Glasgow Math. J, 18, pp.1~10 (1977)
  16. C.L. May, "A family of M-groups", Canad. J. Math, 38(5), pp.1094~1109 (1986)
  17. C.L. May, "Supersolvable M-groups", Glasgow Math. J, 30(1), pp.31~40 (1988)
  18. R. Sahin, S., "Note on M-groupsM", Advanced Studies in Contemporary Mathematics, 14(2), pp.311~315 (2007), 장전수학회(章田數學會)
  19. D. Singerman, "PSL(2,q) as an image of the extended modular group with applications to group actions on surfaces", Proc. Edinb. Math. Soc., pp.143~151 (1987)
  20. Y.T. Ulutas, "One relator quotients of the modular group", Bull. Inst. Math. Acad. Sinica, 32(4), pp.291~196 (2004)

관련 논문AI추천

이 간행물의 다른 논문 (13건)