Geodesic
A new efficient presentation for $PSL(2,5)$ and the structure of the groups $G(3,m,n)$
Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 67-74.

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$G(3,m,n)$ 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.
Classification : 20D06, 20F05 
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     title = {A new efficient presentation for $PSL(2,5)$ and the structure of the groups $G(3,m,n)$},
     journal = {Czechoslovak Mathematical Journal},
     pages = {67--74},
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     year = {2000},
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     zbl = {1038.20021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a8/}
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Vatansever, Bilal; Gill, David M.; Eren, Nuran. A new efficient presentation for $PSL(2,5)$ and the structure of the groups $G(3,m,n)$. Czechoslovak Mathematical Journal, Tome 50 (2000) no. 1, pp. 67-74. http://geodesic.mathdoc.fr/item/CMJ_2000__50_1_a8/