This article is cited in 2 papers

Generation of the Chevalley group of type $G_2$ over the ring of integers by three involutions two of which commute

Ivan A. Timofeenko

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia

Abstract: It is proved that $G_2(\mathbb{Z})$ is generated by three involutions. Two of these involutions commute.

Keywords: ring of integers, generating involutions, Chevalley group.

UDC: 512.54

Received: 10.12.2014
Received in revised form: 21.12.2014
Accepted: 24.01.2015

Language: English