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Start Over Subject groups $G(3,m,n)$

1. A new efficient presentation for $PSL(2,5)$ and the structure of the groups $G(3,m,n)$

Creator:
Vatansever, Bilal, Gil, David M., and Eren, Nuran
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
math, Projective Special Linear group PSL, and groups $G(3,m,n)$
Language:
English
Description:
$G(3,m,n)$ is the group presented by $\langle a,b\mid a^5=(ab)^2=b^{m+3}a^{-n}b^ma^{-n}=1\rangle $. In this paper, we study the structure of $G(3,m,n)$. We also give a new efficient presentation for the Projective Special Linear group $PSL(2,5)$ and in particular we prove that $PSL(2,5)$ is isomorphic to $G(3,m,n)$ under certain conditions.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public

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