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Mathematical logic, algebra and number theory

Generation of the Chevalley groups of type $E_l$ over the ring of integers by three involutions two of which commute

I. A. Timofeenko

Siberian Federal University, pr. Svobodny, 79, 660041, Krasnoyarsk, Russia

Abstract: It is proved that adjoint Chevalley group of type $E_l$ over ring of integers is generated by three involutions. Two of these involutions are commute.

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

UDC: 512.54

MSC: 20G15

Received June 17, 2016, published July 18, 2017

DOI: 10.17377/semi.2017.14.068

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