Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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GENERATING PAIRS FOR THE SPORADIC GROUP Ru

  • Darafsheh, M.R. (Department of Mathematics and Computer Science, University of Tehran) ;
  • Ashrafi, A.R. (Department of Mathematics and Faculty of Science, University of Kashan)
  • Published : 2003.05.01

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Abstract

A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T(l, m, n) = 〈$\chi$, y, z│$\chi$$\^$l/ = y$\^$m/ = z$^n$ = $\chi$yz = 1〉. In [19], the question of finding all triples (l, m, n) such that non-abelian finite simple group are (l, m, n)-generated was posed. In this paper we partially answer this question for the sporadic group Ru. In fact, we prove that if p, q and r are prime divisors of │Ru│, where p < q < r and$.$(p, q) $\neq$ (2, 3), then Ru is (p, q, r)-generated.

Keywords

References

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