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

Title:

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

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:8ba13276-1889-479f-b1d1-3f12a663016b
uuid:8ba13276-1889-479f-b1d1-3f12a663016b

Subject:

math, Projective Special Linear group PSL, and groups $G(3,m,n)$

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

67-84

Source:

Czechoslovak Mathematical Journal | 2000 Volume:50 | Number:1

Harvested from:

CDK

Metadata only:

false