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Paper   IPM / M / 514
School of Mathematics
  Title:   (2,p,q)-Generations of the Conway group Co1
  Author(s):  A. R. Ashrafi (Joint with M. R. Darafsheh)
  Status:   Published
  Journal: Kumamoto J. Math.
  Vol.:  13
  Year:  2000
  Pages:   1-20
  Supported by:  IPM
  Abstract:
A group G is (l,m,n)-generated if it is a quotient group of the triangle group T(l,m,n)= < x,y,z|xl=ym=zn=xyz=1 > . In some research papers the problem is posed to find all possible (l,m,n)-generations for the non-abelian finite simple groups. In this paper we partially answer this question for the Conway group C01. We find all (2,p,q)-generations, p and q are distinct primes, for C01.

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