TY - JOUR ID - 123059 TI - The (p,q,r)-generations of the alternating group A_11 JO - Khayyam Journal of Mathematics JA - KJM LA - en SN - AU - Basheer, Ayoub Basheer Mohammed AU - Motalane, Malebogo AU - Seretlo, Thekiso Trevor AD - University of Limpopo AD - University of Limpopo. AD - School of Mathematical and Computer Sciences, University of Limpopo (Turfloop), P Bag X1106, Sovenga 0727, South Africa Y1 - 2021 PY - 2021 VL - 7 IS - 2 SP - 165 EP - 186 KW - Conjugacy classes KW - generation KW - simple groups KW - structure constants KW - alternating groups DO - 10.22034/kjm.2020.205718.1600 N2 - A finite group G is called (l,m, n)-generated}, if it is a quotient group of the triangle group T(l,m, n) = . 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. UR - https://www.kjm-math.org/article_123059.html L1 - https://www.kjm-math.org/article_123059_118cddb09270ac12afbf0585c55b700a.pdf ER -