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Journal of Lie Theory 25 (2015), No. 4, 1003--1022
Copyright Heldermann Verlag 2015

Isomorphism Classes of k-Involutions of Algebraic Groups of Type F4

John Hutchens
100 E University, Magnolia, AR 71753, U.S.A.

We continue the classification of the isomorphism classes of k-involutions of exceptional algebraic groups. In this paper we classify k-involutions for split groups of type F4 over certain fields, and their fixed point groups. We go on to describe the correspondence between certain subalgebras of Albert algebras and the isomorphism classes of the k-involutions of their automorphism group.

Keywords: Exceptional groups, Jordan algebras, generalized symmetric spaces, algebraic groups.

MSC: 20G15, 20G41, 17C30

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