Generating Pairs for the Fischer Group Fi23

• 作者: Faryad Ali Mohammed ALKadhi
• 来源期刊: 代数集刊（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 713-730
• 页数: 18页
• 语种: 英文
• DOI: 10.1142/S1005386720000590

摘要

A group G is said to be (l,m,n)-generated if it is a quotient of the triangle group T(l,m,n) =<x,y,z | xl =ym =zn =xyz =1>.Moori posed in 1993 the question of finding all the triples (l,m,n) such that non-abelian finite simple groups are (l,m,n)-generated.We partially answer this question for the Fischer sporadic simple group Fi23.In particular,we investigate all (2,q,r)-generations for the Fischer sporadic simple group Fi23,where q and r are distinct prime divisors of |Fi23|.