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Automorphism groups of Cayley evolution algebras

Automorphism groups of Cayley evolution algebras

Abstract In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field $$\Bbbk $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> contains sufficiently many elements (for example if $$\Bbbk $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>k</mml:mi> </mml:math> is infinite) then every finite group G …