Generation of groups by rank-2 tori

Article Type

Research Article

Publication Title

Communications in Algebra

Abstract

Let k be a field of characteristic different from 2 and 3. In this paper, we study the number of rank-2 k-tori required (in fact exhibit such tori explicitly) for the generation of groups of type A2, G2 and F4 arising from division algebras and subgroups of type D4 of Aut(A), for A an Albert division algebra, over infinite perfect fields.

First Page

3174

Last Page

3181

DOI

10.1080/00927872.2017.1411492

Publication Date

7-3-2018

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