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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.
Received June 17, 2016, published July 18, 2017
Citation:
I. A. Timofeenko, “Generation of the Chevalley groups of type $E_l$ over the ring of integers by three involutions two of which commute”, Sib. Èlektron. Mat. Izv., 14 (2017), 807–820
Linking options:
https://www.mathnet.ru/eng/semr824 https://www.mathnet.ru/eng/semr/v14/p807
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