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Fixed points subgroups by two involutive automorphisms $$\gamma,\gamma'$$ of compact exceptional Lie groups $$G_2,F_4,E_6$$ and $$E_7$$. (English) Zbl 1145.22002
The authors consider the connected compact exceptional Lie groups $$G= G_2,F_4, E_6,E_7$$, two involutions $$\gamma$$, $$\gamma'$$ and the fixed point subgroups $$G^\gamma$$, $$G^{\gamma'}$$.
The aim of the paper is to determine the structure group $$G^{\gamma,\gamma'}= G^\gamma\cap G^{\gamma'}$$.
Reviewer: A. Neagu (Iaşi)

##### MSC:
 22E15 General properties and structure of real Lie groups 17A35 Nonassociative division algebras
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