Generating pairs for the sporadic groupRu
MR Darafsheh, AR Ashrafi - Journal of Applied Mathematics and …, 2003 - Springer
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 …
m, n)=< x, y, z| xl= ym= zn= xyz= 1>. In [19], the question of finding all triples (l, m, n) such …
Generating pairs for the held groupHe
AR Ashrafi - Journal of Applied Mathematics and Computing, 2002 - Springer
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 …
r)=< x, y, z⋎ xp= yq= zr= xyz= 1>. In [15], the question of finding all triples (l, m, n) such that …
On Two Generation Methods for The Simple Linear Group
ABM Basheer, TT Seretlo - Khayyam Journal of Mathematics, 2019 - kjm-math.org
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 …
group $ T (l, m, n)=\left< x, y, z| x^{l}= y^{m}= z^{n}= xyz= 1\right>. $ In [Nova J. Algebra and …
The (p, q, r)-Generations of the Mathieu Group M22.
A Basheer, TT Seretlo - Southeast Asian Bulletin of …, 2021 - search.ebscohost.com
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 [24], Moori posed the question of finding all the …
m, n)= < x, y, z| xl= ym= zn= xyz= 1>. In [24], Moori posed the question of finding all the …
[PDF][PDF] Algorithmic enumeration of regular maps.
T Connor, D Leemans - Ars Math. Contemp., 2016 - scholar.archive.org
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 …
as rotational subgroup, using the knowledge of its table of ordinary characters and its …
[PDF][PDF] nX-Complementary generations of the Sporadic group Co1
MR Darafsheh, AR Ashrafi… - Acta Mathematica …, 2004 - academia.edu
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 …
any arbitrary x∈ G−{1}, there is an element y∈ nX such that G=〈 x, y〉. In this paper we …
The (p, q, r)-generations of the alternating group A10
ABM Basheer, T Seretlo - Quaestiones Mathematicae, 2020 - Taylor & Francis
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 …
T (l, m, n)= x, y, z| xl= ym= zn= xyz= 1. In [28], Moori posed the question of finding all the (p …
nX-complementary generations of the Fischer group Fi 23
AR Ashrafi, GA Moghani - Journal of Applied Mathematics and Computing, 2006 - Springer
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 …
complementary generated if, for every x∈ G−{1}, there is ay∈ nX such that G=< hx, y>. In …
A survey on some methods of generating finite simple groups
ABM BASHEER, J MOORI - Groups St Andrews 2017 in …, 2019 - books.google.com
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 …
methods of generating finite simple groups and in particular we focus on those of interest to …
(3, 𝑞, 𝑟)-generations of Fischer's sporadic group Fi′24
F Ali, MAF Ibrahim, A Woldar - Journal of Group Theory, 2019 - degruyter.com
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 …
and y such that o(x)= l, o(y)= m and o(x y)= n. In [J. Moori,(p, q, r)-generations for the …