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Algebras with Transitive Automorphism Groups
Published online by Cambridge University Press: 20 November 2018
Abstract
Let A be a finite dimensional algebra (not necessarily associative) over a field, whose automorphism group acts transitively. It is shown that K = GF(2) and A is a Kostrikin algebra. The automorphism group is determined to be a semi-direct product of two cyclic groups. The number of such algebras is also calculated.
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- Copyright © Canadian Mathematical Society 1986