Denis V. Levchuk, Yakov N. Nuzhin, “On Generation of the Group <nobr>$PSL_n(\mathbb Z+i\mathbb Z)$</nobr> by Three Involutions, Two of Which Commute”, J. Sib. Fed. Univ. Math. Phys., 2008, Volume 1, Issue 2,Pages <nobr>133

This article is cited in 4 papers

On Generation of the Group $PSL_n(\mathbb Z+i\mathbb Z)$ by Three Involutions, Two of Which Commute

Denis V. Levchuk^a, Yakov N. Nuzhin^b

^a Institute of Mathematics, Siberian Federal University
^b Institute of Fundamental Development, Siberian Federal University

Abstract: It is proved that the projective special linear group $PSL_n(\mathbb Z+i\mathbb Z)$, $n\geqslant8,$ over Gaussian integers $\mathbb Z+i\mathbb Z$ is generated by three involutions, two of which commute.

Keywords: Gaussian intergers, special linear group, generating elements.

UDC: 512.544.2

Received: 20.01.2008
Received in revised form: 20.03.2008
Accepted: 05.04.2008

Language: English