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| xl= ym= zn= xyz= 1>. In [19], the question of finding all triples (l, m, n) such …

A group G is said to be (l, m, n)-generated if it is a quotient group of the triangle group T (p, q,
r)=< x, y, z⋎ xp= yq= zr= xyz= 1>. In [15], the question of finding all triples (l, m, n) such that …

A finite group $ G $ is said to be $(l, m, n) $-generated, if it is a quotient group of the triangle
group $ T (l, m, n)=\left< x, y, z| x^{l}= y^{m}= z^{n}= xyz= 1\right>. $ In [Nova J. Algebra and …

A finite group G is called (l, m, n)-generated, if it is a quotient group of the triangle group T (l,
m, n)= &lt; x, y, z| xl= ym= zn= xyz= 1&gt;. In [24], Moori posed the question of finding all the …

Given a finite group G, we describe an algorithm that enumerates the regular maps having G
as rotational subgroup, using the knowledge of its table of ordinary characters and its …

A finite group G with conjugacy class nX is said to be nX-complementary generated if, for
any arbitrary x∈ G−{1}, there is an element y∈ nX such that G=〈 x, y〉. In this paper we …

A finite group G is said to be (l, m, n)-generated, if it is a quotient group of the triangle group
T (l, m, n)= x, y, z| xl= ym= zn= xyz= 1. In [28], Moori posed the question of finding all the (p …

Let G be a finite group and nX a conjugacy class of elements of order n in G. G is called nX—
complementary generated if, for every x∈ G−{1}, there is ay∈ nX such that G=< hx, y>. In …

A finite group can be generated in many different ways. In this paper we consider a few
methods of generating finite simple groups and in particular we focus on those of interest to …

A group G is said to be (l, m, n)-generated if it can be generated by two suitable elements x
and y such that o⁢(x)= l, o⁢(y)= m and o⁢(x⁢ y)= n. In [J. Moori,(p, q, r)-generations for the …