The (p,q,r)-generations of the alternating group A_11
Ayoub B. M. Basheer, Malebogo John Motalane, Thekiso Trevor Seretlo · Khayyam journal of mathematics · 2021
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.