This article is cited in 22 papers

Research Papers

Overgroups of $\mathrm{F}_4$ in $\mathrm{E}_6$ over commutative rings

A. Yu. Luzgarev

St. Petersburg State University, Department of Mathematics and Mechanics

Abstract: Overgroups of the elementary Chevalley group of type $\mathrm F_4$ in the Chevalley group of type $\mathrm E_6$ over an arbitrary commutative ring are described.

Keywords: Chevalley group, exceptional groups over commutative rings, localization-completion method.

MSC: 20H25

Received: 12.02.2008

 English version: St. Petersburg Mathematical Journal, 2009, 20:6, 955–981

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