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School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa
10.22034/kjm.2020.205718.1600
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) = <x, y, z|x^l = y^m = z^n = xyz = 1>. In [23], Moori posed the question of finding all the (p,q,r) triples, where p, q and r are prime numbers, such that a non-abelian finite simple group G is a (p,q,r)-generated. In this paper we establish all the (p,q,r)-generations of the alternating group A_11.$ GAP [14] and the Atlas of finite group representations[28] are used in our computations.
Basheer, A., Motalane, M., & Seretlo, T. (2021). The (p,q,r)-generations of the alternating group A_11. Khayyam Journal of Mathematics, 7(2), 165-186. doi: 10.22034/kjm.2020.205718.1600
MLA
Ayoub Basheer Mohammed Basheer; Malebogo Motalane; Thekiso Trevor Seretlo. "The (p,q,r)-generations of the alternating group A_11". Khayyam Journal of Mathematics, 7, 2, 2021, 165-186. doi: 10.22034/kjm.2020.205718.1600
HARVARD
Basheer, A., Motalane, M., Seretlo, T. (2021). 'The (p,q,r)-generations of the alternating group A_11', Khayyam Journal of Mathematics, 7(2), pp. 165-186. doi: 10.22034/kjm.2020.205718.1600
VANCOUVER
Basheer, A., Motalane, M., Seretlo, T. The (p,q,r)-generations of the alternating group A_11. Khayyam Journal of Mathematics, 2021; 7(2): 165-186. doi: 10.22034/kjm.2020.205718.1600
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