A group G is said to be(l,m,n)-generated if it is a quotient of the triangle groupT(l,m,n)=(x,y,z|x^(l)=y^(m)=z^(n)=xyz=1).Moori posed in 1993 the question of finding all the triples(l,m,n)such that non-abelian finite...A group G is said to be(l,m,n)-generated if it is a quotient of the triangle groupT(l,m,n)=(x,y,z|x^(l)=y^(m)=z^(n)=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|Fi_(23)|.展开更多
基金The authors thank the Deanship of Scientific Research(DSR)at Al Imam Mohammad Ibn Saud Islamic University(IMSIU),Saudi Arabia,for supporting this research under Project No.361201.
文摘A group G is said to be(l,m,n)-generated if it is a quotient of the triangle groupT(l,m,n)=(x,y,z|x^(l)=y^(m)=z^(n)=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|Fi_(23)|.
