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Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 2, Pages 133–139
(Mi jsfu14)
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This article is cited in 3 scientific papers (total in 3 papers)
On Generation of the Group $PSL_n(\mathbb Z+i\mathbb Z)$ by Three Involutions, Two of Which Commute
Denis V. Levchuka, Yakov N. Nuzhinb
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.
Received: 20.01.2008
Received in revised form: 20.03.2008
Accepted: 05.04.2008
Citation:
Denis V. Levchuk, Yakov N. Nuzhin, “On Generation of the Group $PSL_n(\mathbb Z+i\mathbb Z)$ by Three Involutions, Two of Which Commute”, J. Sib. Fed. Univ. Math. Phys., 1:2 (2008), 133–139
Linking options:
https://www.mathnet.ru/eng/jsfu14 https://www.mathnet.ru/eng/jsfu/v1/i2/p133
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